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Table of Contents Home. Same time problem. Example 3. Same time problem : Average Speed Of Boat In Upstream And Downstream Not Work Upstream-Downstream. When a boat travels in the same direction as upstream and downstream boat problems current, we say that it is traveling downstream. Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is.

The speed of a boat in still water is 30 mph. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream.

Find the speed of the current. The key to this type of problem is same time. That will give the equation. Now, speed, or velocityis distance divided by time -- so many miles per hour:. Problem 5. 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? To see the equation, pass your mouse over the colored area.

Upstream and downstream boat problems cover the answer again, click "Refresh" "Reload". But do the problem yourself first! Problem 6. Problem 7. If train A travels miles in the same time train B travels miles, what are the speeds of the two trains? Let x be the speed of train A. Problem 8. If the train covers miles in the same time the car covers 80 miles, what is the speed of each of them?

Let x be the speed of the train. Example 4. Total time problem. Katrina drove her car to Boston at a speed of kph kilometers per hour. She drove back at 75 kph. The total driving time was 7 hours. How far away was Boston? Problem 9. You have exactly h hours at your disposal. 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? Example 5. Job problem.

Raymond can do a job in 3 hours, while it takes Robert 2 hours. How long will it take them if they work together? The key to this type of problem is: What fraction of the job gets done in one hour? For example, if a job takes 3 hours, then in one hour, will get. In general, if a job takes x hours, then in one hour, will get. So, let x answer the question. Let x be how long will it take them if they work. Then is that fraction of the job that gets done in one hour.

Upstream and downstream boat problems in one hour, Raymond does of the job, and Robert. Since xor its reciprocalis already isolated on the left, simply add the fractions on the right:. Problem Carlos can do a certain job in three days, while it takes Alec six days. If they work together, how long will it take them? If Jane can do a certain job in 6 hours, but it takes Ana only 4 hours, how long will it take them if they work together?

Two people working together can complete a job in six hours. Upstream and downstream boat problems one of them works twice as fast as upstream and downstream boat problems other, how long would it take the faster one working alone? Then the other takes 2 x.

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Table of Contents Home Lesson 25, 2nd Level. Word problems that lead to equations with fractions Back to Level 1 Same time problem Total time problem Job problem Example 3. First, let us explain the meaning of "upstream" and "downstream. Distance upstream Speed upstream. Distance downstream Speed downstream. Let x be the speed of the current. Then according to the problem :. Time upstream. Time downstream. Train A's time. Train B's time. A's distance A's speed.

B's distance B's speed. Train's time. Car's upstream and downstream boat problems. Train's distance Train's upstream and downstream boat problems. Car's distance Car's speed. Lesson 24 of Arithmetic. The LCM is 6 x. Here is the cleared equation:.

Make points:

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? b = (d+u) / 2 which gives the speed of the boat in terms of downstream and upstream speed. Subtracting the equation (i) and (ii), we get d � u = 2w ? w = (d-u) / 2 which gives the speed of the stream in terms of downstream and upstream speed. You should remember these boats . Sep 16, �� These Boats and Streams Difficult Problems will help you for your exam preparation. Model Questions and Answers on Boats and Streams Problems. 1. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 miles/hour, the speed of the stream is A. 2m/hr B. 2. Example 8: A boat running upstream takes 4 hours 24 minutes to cover a certain distance, while it takes 2 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water respectively? Sol: Let x be the speed of boat and y be the speed of water ? ? 22/5(x-y) = 2(x+y) ? 11xy = 5x+5y ? 6x=16y ? x/y = 8/3.

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