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Lesson Selected problems from the archive on the boat floating Upstream and Downstream Suppose the speed of a certain boat in still water is �u� km/hr and the speed of the stream is �v� km/hr, then: Speed of this boat downstream = (u + v) km/hr. Speed of this boat upstream = (u -v) km/hr. Also, if the downstream speed is �a� km/hr (suppose) and the speed upstream is b km/hr, then: Speed in still water will be = [1/2] (a + b) km/hr. Upstream speed = b ? c. Problem. 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. Solution. The key to this type of problem is same time. That will give the equation, Time upstream = Time downstream. Problem 1. Motorboat moving upstream and downstream on a river A motorboat makes the 24 miles upstream trip on a river against the current in 3 hours. Returning trip with the current takes 2 hours. Find the motorboat speed in still water and the current speed. Solution Let u be the motorboat speed in still water in miles per hour.
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Place a half-pint divert crate upon tip as well as heart it upon a ship's physique. They've achieved properly- Though I dont upstream downstream still water problems to H2O has ever overwhelmed them since they have been encased in glue that retains them in their really own micro ambience.

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To see the equation, pass your mouse over the colored area. To 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 Upstream Downstream Still Water Problems 2?? 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 Upstream Downstream Still Water Problems 5th 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 done.

What was the average speed during the whole journey? Sol In this problem we cannot directly use the formula first we need to find the upstream speed and speed in still water. This can be done as follows,. Example 5: A person challenged himself to cross a small river and back. If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river.

If a boat takes t hours to row to a place and return back, then the distance between the two places can be estimated through. If in a river running at 1. Sol To solve this question we will simply use the formula given above. In this case, t is 50 minutes b is 1. The above examples are just few simple and basic application of the methods stated along with them. These formulas can come in handy and can save lot of your time in exam. You can find questions and problems involving simultaneous use of more than one formula at times.

But if you know the correct utilization of them you can solve any problem easily. And, this smoothness comes with practice so the more you varied Upstream Downstream Still Water Problems Map questions you try the more you will learn and become better at solving them. So, keep practicing! Here you have to find speed of stream and not the speed of the boat.

You have to use the below formula to find speed of stream. Example Question 2: A man rows downstream 30 km and upstream 12 km. If he takes 4 hours to cover each distance, then the velocity of the current is:. Solution: In this question, downstream and upstream speeds are not given directly. Hence you have to calculate them first. Step 3: Calculation of speed of stream You have to substitute Upstream Downstream Still Water Problems Ltd values got in steps 1 and 2 in below formula to find the speed of the stream.

In this type, you have to find distance of places based on given conditions. Below example will help you to understand better. If in a river running at 2 km an hour, it takes him 40 minutes to row to a place and return back, how far off is the place? The man rows to a particular place and comes back. You have to calculate the distance of this place.

Let this distance be X. See the below diagram to understand clearly. Man starts from A, travels to B and comes back. Therefore, above equation becomes,. Also we have calculated downstream and upstream speeds at the start see values 1 and 2.

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