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Boats and streams Formula | Boats and Streams Shortcuts - Hitbullseye Take V =5 m/s (corresponding to tS = = s, for m in still water). Rowing in a (slowish) stream of U =10 cm/s, you'd row m upstream in tU =s, and downstream in tD =s, giving an average of tA =s, i.e. only s slower, not important. The net speed of the boat in this case is called upstream speed. Let the speed of the boat in still water is 'b' km/hr and the speed of the stream is 'w' km/hr. When the boat goes downstream then the speed will be (b + w) km/hr as in this case the water will take the boat along with it. Jul 18, �� b = speed of the boat. 3 = speed of current. b+3 = rate of boat when travel downstream (the current makes the boat move faster) b - 3 = rate of boat when travel upstream (the current hampers forward travel) t = time upstream or downstream (times are the same) Equations: d =r*t. Solve for t: => d/r = t. upstream ==> 8 / (b-3) = t.
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Example 6: Two ferries start at the same time from opposite sides of a river, travelling across the water on routes at right angles to the shores. Each boat travels at a constant speed though their speeds are different. They pass each other at a point m from the nearer shore. Both boats remain at their sides for 10 minutes before starting back. On the return trip they meet at m from the other shore. Find the width of the river. Using i , we get. Using ii ,. Stream: It implies that the water in the river is moving or flowing.

Upstream: Going against the flow of the river. Downstream: Going with the flow of the river. Still water: It implies that the speed of water is zero generally, in a lake. Quicker Method to solve the Questions. Let the Speed Of The Boat Upstream And Downstream Android required distance be x km. Solution: Let the width of the river be x. Let a, b be the speeds of the ferries. The speed of a stream is 3 mph.

A boat travels 8 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water? When you're traveling upstream, you are moving against the current, resisting the stream's flow, and so your rate is slowed by however fast the stream is moving which in this case is 3mph; therefore, your upstream rate is represented by "r The reason you can ignore the x is because the "x" that represents time in both cases are equal and it would not affect your final values because they would equally affect each equation.

The time is equivalent for the two the situations. You see, if it's going against the 3mph current, it goes 8mph, but if it's going along WITH the 3mph current, it goes 14mph. Trending News. Sex probe threatens GOP rep's speedy political rise.

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