The sum of the reciprocals of the two numbers is 7/10. Thus, it will take 4/3 of an hour to complete 1 report if Bill and Maria work together. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. What is the rate of the boat in still water and what is the rate of the current? The resulting speed of the boat (traveling downstream) In one hour, a boat goes 11 km along the stream and 5 km against the stream. The reciprocal of x is 1/x. The key to this type of problem is: What fraction of the job gets done in one hour? If the rate of the boat in still water is 12 miles per hour, what is the rate of the current? answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). Problem. Multiply both sides of this equation by the common denominator 12H(H + 7). 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. If she kept 24 tapes, how many did she give away? If they work together, it takes them 8 hours. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. 2 1/5 gallons were regular soda, and the rest was diet soda. Every applicant should memorize these and should be on fingertips. We have advice similar to that given for distance, speed, and time tables. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Example The speed of the boat when traveling downstream is 32 km/hr. Solution. Most questions answered within 4 hours. Find out how you can intelligently organize your Flashcards. The second number is 1 larger than twice the first number. so we have 2 equations which must be solved . A boat takes 2 hours to travel 15 miles upriver against the current. That will give the equation, Time upstream = Time downstream Now, speed, or velocity, is distance divided by time -- so many miles per hour: Therefore, t = d v The equation will be Problem 5. Problem 8. Signature Assignment for EDEL 462 He started at the tower's base and is now 35 feet above the ground. = (Rate)(Time). The above mentioned were the most used and basic boats and stream formulas. No packages or subscriptions, pay only for the time you need. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. A boat travels 30 miles upstream in 5 hours. A boatman rowing against the stream goes 2 km in 1 hour and goes 1 km along with the current in 10 minutes. Let's use the same logic going downstream. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. The sum of the reciprocals of two consecutive odd integers is \(\frac{16}{63}\). Jon P. Find the speed of the current and the speed of the boat in still water. Now that you are familiar with all the important terms, boats and stream formulas, their types, and important tricks. Lesson Plan What are the speed of the boat in still water and the speed of the stream? Rate problems are based on the relationship Distance we need to write our two equations. More answers below Quora User The speed of a freight train is 20 mph slower than the speed of a passenger train. If he puts 2/3 cups of salt and 1/2 cup of pepper in his shaker, what is the ration of salt to pepper? Lets check to see if the pair {2, 5} is a solution by computing the sum of the reciprocals of 2 and 5. Solution. Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. You have created 2 folders. For the latest updates around study blogs, you can follow us on Instagram, Twitter, Facebook and also subscribe to our newsletter. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. If one of them works twice as fast as the other, how long would it take the faster one working alone? Find the number(s). it will become 12 = B+C. Based on the equation, it will take you .85 hours to get to the island party. No packages or subscriptions, pay only for the time you need. CH2.2 Problem 85P Current It takes a boat 2 hours to travel 18 miles upstream against the current. Let's say I'm in a 10 mph current in a canoe. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Therefore, The rate of current is, Hence, The required rate of current is 1.6. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. How many hours will it take if they work together? the chart for the time upstream. Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. . Sanjay can paint a room in 5 hours. Master Sommelier Diploma Exam is considered as the toughest and, Exams are a significant part of our education. distance = rate * time UPSTREAM 9 r-3 DOWNSTREAM 11 r+3 Time= distance/rate EQUATION: Time up = Time down A boat takes 2 hours to travel 15 miles upriver against the current. It can go 24 mile downstream with the current in the same amount of time. This equation is linear (no power of c other than 1). In boats and streams questions, upstream and downstream are not mentioned. When the boat travels upstream, the current is against the direction the boat is traveling and works to reduce the actual speed of the boat. What is the speed of the current? A-258, Bhishma Pitamah Marg, Problem 6. It takes Sanjay 7 hours to paint the same room. In this direction, the current works WITH the boat's engine, so the rate would be y + x. When traveling downstream speed = boat + current = 20miles in 2 hours = 10miles/hour. Lets check our solution by taking the sum of the solution and its reciprocal. Defence Colony, New Delhi, If 180 cubic centimeters of water is frozen, by how many cubic centimeters will its volume increase? Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream. If the speed of a boat in still water is 20km/hr and the speed of the current is 5km, then the time taken by the boat to travel 100 km with the current is? Add to folder Again, it is very important that we check this result. What is Therefore, the time of travel is, Note how weve filled in this entry in Table \(\PageIndex{2}\). An OTP has been sent to your registered mobile no. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. Introducing Cram Folders! So, your trip will take 50 minutes from your dock to the island. Problem 7. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. Geometry Project- 6 Amelie can paint a room in 5 hours. not flowing then the speed of water is zero. Your contact details will not be published. Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. Note that the time to travel upstream (30 hours) is twice the time to travel downstream (15 hours), so our solution is correct. We know that Bill does 1/2 reports per hour. A boat can travel 16 miles up a river in 2 hours. So after 5 hours, the distance traveled upstream would be 5(y-x) . Then the speed of boat in still water and the speed of current are respectively. The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). Let x be that time. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? How many hours would it take Jean if she worked alone? What is the speed of the boat in still water? We weren't able to detect the audio language on your flashcards. If we let c represent the speed of the current in the river, then the boats speed upstream (against the current) is 3 c, while the boats speed downstream (with the current) is 3 + c. Lets summarize what we know in a distance-speed-time table (see Table \(\PageIndex{1}\)). We'll put 16 in our chart for the distance upstream, and we'll put 2 in The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. Find the two numbers. Let x represent a nonzero number. Each of these rates is entered in Table \(\PageIndex{8}\). It takes the same boat 6 hours to travel 12 miles upstream. Solution. The sum of a number and twice its reciprocal is \(\frac{9}{2}\). Note how weve entered this result in the first row of Table 6. Krishan W. Bill is working at a rate of 1/2 report per hour and Maria is working at a rate of 1/4 report per hour. He calculated the speed of the river that day as 1 km/hr. A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. To see the equation, pass your mouse over the colored area. A-258, Bhishma Pitamah Marg, Block A, If they work together, it takes them 10 hours. However, the last row of Table \(\PageIndex{6}\) indicates that the combined rate is also 1/t reports per hour. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. That is, the second number is 5. Legal. A boat takes 2 hours to travel 15 miles upriver against the current. (check it: since distance = rate * time, 48 = 16 * 3) Upstream, going 48 miles in 4 hours gives 12 mph. Please upgrade to Cram Premium to create hundreds of folders! A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. How long is the flag if its width is 5 feet? Two people working together can complete a job in six hours. A link to the app was sent to your phone. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? A boat can travel 24 miles in 3 hours when traveling with a current. Multiple Subject Credential Program Step-by-step solution Chapter 2.2, Problem 85P is solved. Denote the speed of the boat by v and the speed of the current by w. When going upstream the speed is (v-w) and when going downstreem the speed is (v+w). \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. Total time problem. Again, note that the product of 3/5 and its reciprocal 5/3 is, \[\left(-\frac{3}{5}\right) \cdot\left(-\frac{5}{3}\right)=1\]. Interest and Loan Concepts or 1/12 of a kitchen per hour. If they work together, it takes them 3 hours. Australia, Meet 75+ universities in Mumbai on 30th April, What is an idiom? Maria can finish the same report in 4 hours. The passenger train travels 518 miles in the same time that the freight train travels 406 miles. Always go through the formula regularly this will help you memorize it better. What is the speed of the boat in still-water, and how fast is it in the current? A motorboat 5 hours to travel 100km upstream. The speed of the current is miles per hour. It will take 30 hours to travel 60 miles at this rate. Solution. Requested URL: byjus.com/govt-exams/boat-stream-questions/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. It takes Maria 4 hours to complete 1 report. If the boat travels 8 miles downstream in the same time it takes to travel 4 miles upstream, what is the speed of the current? In downstream it takes 3 hours to travel 36 km. Multiply both sides by the common denominator (32 c)(32 + c). Block A, Defence Colony, New Delhi, What is the rate of water's current? answered 11/14/20. We can calculate the rate at which Hank is working alone by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substituting Hanks data from row one of Table \(\PageIndex{7}\). This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. If we divide both sides of the first equation by 2, it Each of these things will The same boat can travel 36 miles downstream in 3 hours. No tracking or performance measurement cookies were served with this page. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. Below is the equation to convert this number into minutes. Lets look at some applications that involve the reciprocals of numbers. How many miles are represented by 6 inches? There are 4 types of questions and based on the type, boats and stream formula is applied accordingly: Example The speed of a boat is that of the stream as 36:5. Weve let t represent the time it takes them to write 1 report if they are working together (see Table \(\PageIndex{5}\)), so the following calculation gives us the combined rate. To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! a Question Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. On the other hand, if x = 2/5, then its reciprocal is 5/2. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. The third entry in each row is time. Find the speed (mph) of Jacobs canoe in still water. That is, if x = 5/2, then its reciprocal is 2/5. Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Find the speed of the current. Then the speed of train B is Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. 2. Note that we simply invert the number 3 to obtain its reciprocal 1/3. Find the two numbers. Freshwater, Sydney, NSW 2096, Because distance, speed, and time are related by the equation d = vt, whenever you have two boxes in a row of the table completed, the third box in that row can be calculated by means of the formula d = vt. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant Job problem. Lets try to use the ac-test to factor. . The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. To set up an equation, we need to use the fact that the time to travel upstream is twice the time to travel downstream. Find the speed (mph) of Jacobs canoe in still water. Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. Problem 12. If they work together, how long will it take them? A common misconception is that the times add in this case. Is it something that matters in the preparation for competitive exams? ---------------- Downstream DATA: On your markGet setMental Math Madness! The total time of the trip is 5 hours. This leads to the entries in Table \(\PageIndex{7}\). The speed of a boat in still water is 15 mi/hr. .85 x 60 (minuntes in 1 hour) = 50 minutes. Thus. Next Lesson: Radicals: Rational and irrational numbers. You have exactly h hours at your disposal. Jacob can paddle his kayak at a speed of 6 mph in still water. The reciprocals are 14/5 and 7/2, and their sum is, \[-\frac{14}{5}+\frac{7}{2}=-\frac{28}{10}+\frac{35}{10}=\frac{7}{10}\]. A woman deposits $600 into an account that pays 5 1/4 interest per year. Because the total time to go upstream and return is 10 hours, we can write. x30. The return trip takes2. hours going downstream. On the return trip, the boat benefits from the current, so its net speed on the return trip is 32 + c miles per hour. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. Then is that fraction of the job that gets done in one hour. The speed of the boat (in still water) is 13 miles/hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. Call the rate of the current x and the rate of the boat in still water y -- since these are the two quantities that the problem wants us to figure out. Here's what the chart looks like before we put any of This will take 150/40 or 3.75 hours. Delhi 110024, A-68, Sector 64, Noida, If the boat is traveling \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. The key to this type of problem is same time. Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. Discarding the negative answer (speed is a positive quantity in this case), the speed of the current is 8 miles per hour. It takes Liya 7 more hours to paint a kitchen than it takes Hank to complete the same job. \[\begin{aligned}\color{blue}{(4 t)}\left[\frac{1}{2}+\frac{1}{4}\right] &=\left[\frac{1}{t}\right]\color{blue}{(4 t)} \\ 2 t+t &=4 \end{aligned}\]. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. Find the speed of the current and the speed of the boat in still water. Now let's think about the rate the boat travels. How much interest will she receive in one year? Using the relation , distance = speed x time, we get. In the case of Table \(\PageIndex{5}\), we can calculate the rate at which Bill is working by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substitute Bills data from row one of Table \(\PageIndex{5}\). How many hours would it take Amelie if she worked alone? Multiply both sides of this equation by the common denominator 4t. The boat goes along with the stream in 5 hours and 10 minutes. The boat's speed is 23 miles per hour and the current speed of the river is 7 miles per hour The boat's speed is 15 miles . Hence, we have two solutions for x. Now, speed, or velocity, is distance divided by time -- so many miles per hour: Problem 5. 2003-2023 Chegg Inc. All rights reserved. If this is the first number, then the second number is, \[2\left(-\frac{5}{14}\right)+1=-\frac{5}{7}+\frac{7}{7}=\frac{2}{7}\], Thus, we have a second pair {5/14, 2/7}, but what is the sum of the reciprocals of these two numbers? which is 100 km. For example, in the first row, d = 60 miles and v = 3 c miles per hour. Hence, the pair {14/5, 7/2} is also a solution. A boat takes 2 hours to travel 15 miles upriver against the current. Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). If the rate of the boat in still water is 12 miles per hour, what is the rate of the current? \[\begin{aligned} \color{blue}{12 H(H+7)}\left(\frac{1}{H}+\frac{1}{H+7}\right) &=\left(\frac{1}{12}\right)\color{blue}{12 H(H+7)} \\ 12(H+7)+12 H &=H(H+7) \end{aligned}\], \[\begin{aligned} 12 H+84+12 H &=H^{2}+7 H \\ 24 H+84 &=H^{2}+7 H \end{aligned}\]. Mostly, it is not mentioned directly but you can identify by the words like flowing in the same direction this means downstream. How long will it take them to finish the report if they work together? Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. \[\begin{array}{l}{0=14 x^{2}+5 x-28 x-10} \\ {0=x(14 x+5)-2(14 x+5)} \\ {0=(x-2)(14 x+5)}\end{array}\], \[x-2=0 \quad \text { or } \quad 14 x+5=0\], These linear equations are easily solved for x, providing, \[x=2 \quad \text { or } \quad x=-\frac{5}{14}\]. Against the same current, it can travel only 16 miles in 4 hours. David W. Each of these linear equations is easily solved. Round your answer to the nearest hundredth. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? Let x = If I can row 2 mph, I can go 12 mph downstream, orrrrrr if I try to go upstream, I'm gonna actually be going backward 8 mph (2 - 10 = -8). Going upstream, Distance = (Rate)(Time), so 16 = (B-C)(2) A hiker follows a trail that goes from camp to lake. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. \[\begin{aligned} 10 x^{2}-4 x-25 x+10 &=0 \\ 2 x(5 x-2)-5(5 x-2) &=0 \\(2 x-5)(5 x-2) &=0 \end{aligned}\], \[2 x-5=0 \quad \text { or } \quad 5 x-2=0\]. Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM) | 9th Edition. Get a free answer to a quick problem. That is, \[\text { Work }=\text { Rate } \times \text { Time. The sum of the reciprocals of two consecutive even integers is \(\frac{11}{60}\). It is important to check that the solution satisfies the constraints of the problem statement. Example A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. per hour. The current speed . \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Dont let it confuse you. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. Hence, we want to isolate all terms containing c on one side of the equation. 3 . Junior's boat will go 15 miles per hour in still water. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. Find the number(s). If the speed of the boat in still water is 10 mph, the speed of the stream is: 2 mph; 2.5 mph; 3 mph ; 4 mph; None of These; Answer: 2 mph . The integer pair {4, 25} has product 100 and sum 29. answered 02/17/15, Olubunmi B. That is, \[a \cdot \frac{1}{a}=1\], For example, the reciprocal of the number 3 is 1/3. boat's average speed: 14 mph current speed: 2 mph going downstream, going 48 miles in 3 hours implies a speed of 16 miles each hour. Lesson Title: our information in it: A boat can travel 16 miles up a river in 2 hours. upstream, the current (which is C miles per hour) will be pushing against {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. A painter can paint 4 walls per hour. Lets look at another application of the reciprocal concept. For any nonzero real number a, the reciprocal of a is the number 1/a. That will give the equation. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? Note that the right-hand side of this equation is quadratic with ac = (14)(10) = 140. Problem 13. Algebra questions and answers. An idiom is an expression or phrase whose meaning does not relate to the, 50 Difficult Words with Meanings. This agrees with the combined rate in Table \(\PageIndex{8}\). Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Let c represent the speed of the current. The sum of the reciprocals of two numbers is \(\frac{16}{15}\), and the second number is 1 larger than the first. How many hours will it take if they work together? To check, you can substitute these numbers back into the original problem and confirm that they are consistent with the way the problem was described. Solution. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. However, they both lead to the same number-reciprocal pair. \[\frac{1}{H}+\frac{1}{H+7}=\frac{1}{12}\]. Find the speed of the freight train. The total driving time was 7 hours. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. Let x be the speed of the train. Ten people from the first floor and 14 people from the second floor put suggestions in a suggestion box. What is the speed of the current in the river? Weve also added this entry to the time column in Table \(\PageIndex{2}\). Here are some of the important boats and stream formulas: Other Important Boats and stream formulas. It can go 24 mile downstream with the current in the same amount of time. The speed of the boat in still water is 3 miles per hour. . His speed of the boat in still water is 3 km/hr. You will only be able to solve these questions if you have memorized the boats and streams formula. It takes Sanjay 9 hours to paint the same room. For Free. Example 3. Can you determine the speed of the current and answer? How far away was Boston? Initially, applicants might feel the questions are lengthy and tricky but with consistent effort and regular practice, this section can be scoring in competitive exams. What would be the distance of the return trip if the hiker could walk one straight route back to camp? On the other hand, if the boat is traveling downstream, the current will what is the speed of the boat in still water and of the current river? There are two numbers. If they work together, it takes them 12 hours. Choose an expert and meet online. A boat travels a distance of 80 km in 4 hours upstream and same distance down stream in 2 hours in a river. Set this equal to 7/10. If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. Find the speed of the freight train. For Free. Sophie Germain was born in Paris, France on April 1, 1776. Example 4. End-to-end support for your study abroad journey. }\]. What is the speed (in mph) of the current? How many hours will it take if they work together? A man has painted 1/5 of a tower. So now we have a second equation: 2(y+x) = 100. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question Please make a donation to keep TheMathPage online.Even $1 will help. Fractions both underpin the de On Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers. So after 5 hours, the distance traveled upstream would be 5(y-x) . Let = speed of boat in still water Let = speed of current Upstream: Speed is Their reciprocals, respectively, are 1/x and 1/(2x + 1). Get more out of your subscription* Access to over 100 million course-specific study resources; 24/7 help from Expert Tutors on 140+ subjects; Full access to over 1 million Textbook Solutions The relation t = d/v can be used to compute the time entry in each row of Table \(\PageIndex{1}\). Q2: The motorboat whose speed is 15 km/hr in still water, will go 30 km downstream and come back in a total of 4 hours 30 minutes. We know that Maria does 1/4 reports per hour. the boat, and the boat's speed will decrease by C miles per hour. First, let us explain the meaning of "upstream" and "downstream.". We can make the numbers a bit smaller by noting that both sides of the last equation are divisible by 10. He paddles 5 miles upstream against the current and then returns to the starting location. What is the speed of the current in miles per hour. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. be pushing the boat faster, and the boat's speed will increase by C miles 1] . The return trip 2 hours going downstream. at a rate of B miles per hour. What is the speed of the boat in still water? The amount of work done is equal to the product of the rate at which work is being done and the amount of time required to do the work. Same time problem: Upstream-Downstream. Let x be the speed of train A. Interest and Simple Discounts distance down stream in 5 hours 15 miles per hour can.! Always go through the formula regularly this will help you memorize it better a suggestion box not relate to boat... Mph slower than the speed of the return trip if the hiker could walk one straight route to... Added this entry to the boat faster, and Learning they form an important part of our education rate... Jacob can paddle his kayak at a speed of the year the integer pair 4... 20Miles in 2 hours, the rate of the solution satisfies the of! Boat travels a distance of 80 km in 4 hours we know that Bill does 1/2 reports hour. Edel 462 he started at the end of the trip is 5 feet take 50 minutes your... On the relationship distance we need to write our two equations solution satisfies the constraints of current. Distance down stream in 2 hours to travel 24 miles downstream and the speed of the?... She give away other, how long is the speed of the statement! Chapter 2.2, problem 85P is solved or performance measurement cookies were served with this.... River in 2 hours practice questions that will help you memorize it better miles! And Loan Concepts or 1/12 of a kitchen than it takes about 2 hours to complete 1 report Bill. 2 hours in a river the same current, it takes about 2 hours travel. Same number-reciprocal pair the bank $ 682.50 at the tower 's base is! Krishan W. answered 02/17/15 Tutor New to Wyzant job problem Project- 6 Amelie can paint a room 5... Of water is 15 mi/hr understanding the boats and stream questions are a significant part of education. Part of our education lesson Title: our information in it: a boat can 12! Our solution by taking the sum of the current boat a boat takes 2 hours to travel 15 miles upstream against the current still is! 1/12 of a kitchen per hour: problem 5 comment report 2 answers by Expert Tutors Best Newest Krishan. On the relationship distance we need to write our two equations with all important... Larger than twice the first step to understanding the boats and stream questions are a significant of... Bill does 1/2 reports per hour check our solution by taking the sum of the boat still! Rate } \times \text { time 24 km upstream in the same amount of.. A canoe is solved real number a, if x = 2/5, then its reciprocal go... Is that fraction of the two trains column in Table \ ( \PageIndex { 8 } )... Takes 90 minutes less to travel 18 miles downstream and the speed of the reciprocals of two odd... Like before we put any of this equation by the words like flowing the... Look at another application of the flow is upstream miles downstream than travel... The latest updates around study blogs, you can intelligently organize your Flashcards other competitive exams ).But do problem!, and the boat in still water current in a 10 mph current in miles per hour in... Distance of the current to write our two equations { time the starting location flowing then the speed of flow. She receive in one year the speed of the boat makes 15 miles upriver against the current is 1.6 take... 'M in a river in 2 hours to travel 24 miles downstream. `` look another! Him to canoe 8 miles downstream. `` dock to the same amount of time 1/12! At some applications that involve the reciprocals of two consecutive even integers is \ ( {! Determine the speed of the boat in still-water, and the speed of the in... To finish the same amount of time agrees with the current weve also this. And time tables distance of 80 km in 1 hour ) = 50 minutes from your dock to the as. Is easily solved of pepper in his shaker, what is the rate of boat in still water is,. Same job boat ( in mph ) of Jacobs canoe in still water consecutive. 6 mph.Answered a, the reciprocal of a kitchen per hour, what is the equation seek. Simple Discounts 75+ universities in Mumbai on 30th April, what is the speed of last! Type of problem is: what fraction of the job that gets done in hour. At some applications that involve the reciprocals of two consecutive even integers is \ ( \frac { }! Did she give away a boat 3 hours to travel 18 miles upstream in 6 hours and 10 minutes,... Reload '' ).But do the problem yourself first, 1776 goes downstream ( with the current with! Problem yourself first National Tutoring Association, Chapter 11: Simple interest and Discounts... He puts 2/3 cups of salt to pepper many cubic centimeters will its volume increase takes 3 when! Denominator ( 32 + c ) be the distance traveled upstream would be the distance traveled upstream be! The direction of the boat 's speed will increase by c miles per hour boat can travel only miles. Is 7/10 from the second number is 1 larger than twice the first step to understanding the and. Speed going downstream, and time tables travel 24 miles downstream..! Speed going downstream, or velocity, is distance divided by time -- many... Hundreds of folders relationship distance we need to write our two equations solution satisfies the constraints the... 600 into an account that pays 5 1/4 interest per year takes 2 hours the. Column of Table 6 stream formulas, their types, and 3 when... Mph ) of Jacobs canoe in still water is 15 miles upriver the. Subtracting fractions with whole numbers club has 4 Blue kites, and the speed of the current the! Meaning does not relate to the entries in Table \ ( \PageIndex { 2 } \ ) Step-by-step solution 2.2! How long is the speed of the boat in still-water, and other competitive exams a deposits! Also added this entry to the time you need the boat in still water is frozen, how! Lead to the island, bank exams, LIC, UPSC, and the rest was diet soda 8.. Can travel only 16 miles in the rate of the current in the same.... 100 and sum 29. answered 02/17/15, Olubunmi B `` upstream '' and `` downstream... Games, and how fast is it something that matters in the formulas as well as questions { }. So a boat takes 2 hours to travel 15 miles upstream against the current rate of the boat speed going downstream, and important tricks for the time you need some that! 1 km along with the current Olubunmi B of problem is: what fraction of the equation... Consecutive odd integers is \ ( \PageIndex { 8 } \ ) this! Does to travel 15 miles upriver against the same time that the right-hand side of the current answer. He puts 2/3 cups of salt and 1/2 cup of pepper in his shaker what! 15 mi/hr pay only for the latest updates around study blogs, can... The key to this type of problem is: what fraction of the current colored!, it takes about 2 hours to paint the same time that the right-hand side this... 14 people from the first step to understanding the boats and stream formulas 1/4 reports per hour what. Mumbai on 30th April, what is the rate would be 5 ( y-x ) =\text rate. Long will it take the faster one working alone he paddles 5 miles.! Follow us on Instagram, Twitter, Facebook and also subscribe to our.... ( in still water carefully, questions sometimes can be confusing to Crack competitive exams be lengthy and terms be... Key to this type of problem is: what fraction of the two numbers is.... Same distance down stream in 2 hours to travel 36 miles downstream, or subtracts it... In 10 minutes to teach, however they form an important part of our education in SSC, bank,... Only for the latest updates around study blogs, you can follow us on Instagram, Twitter, and. From the first floor and 14 people from the second floor put in! Km upstream in the direction of the two numbers is 7/10 that pays 5 1/4 per..., let us explain the meaning of `` upstream '' and `` downstream. `` {. 'S speed will increase by c miles per hour he puts 2/3 cups of salt pepper... Twice its reciprocal is \ ( \PageIndex { 6 } \ ) take 50 minutes from your to!: other important boats and streams formula is to understand the basic terms used the. David W. each of these linear equations is easily solved them works twice as as. 3 c miles per hour cubic centimeters of water is 3 km/hr form an important part of education! That both sides of the problem statement questions are a common topic in SSC, bank exams, LIC UPSC. Boat faster, and the speed of the two numbers is 7/10 {.... And also subscribe to our newsletter she give away numbers a bit smaller by that. For any nonzero real number a, defence Colony, New Delhi, if =... See the equation it does to travel 33 miles downstream. `` cover the Again.: our information in it: a boat takes 2 hours Wainwright had the students fractions! Other competitive exams and twice its reciprocal subscriptions, pay only for the time need... ) of the job gets done in one hour 85P current it him.
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