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Boat Upstream & Downstream - Tips, Tricks, Formula & Sample Questions
The ratio of the original speed fo the boat to speed of the river is? Strategy. The boat problem usually has 3 components to it. speed of the river. Sr. speed of the boat. Sb. time to cover the distance (one way/round trip). Downstream speed would be. S down = S b + S r. And upstream speed would be. S up = S b - S r. The time taken to complete the round trip would be. T = D S up + D S down. Condition given in the problem. If speed of the boat is doubled, time reduces by 75% (i.e its 25% of original time). 1 4 T = D 2S b - S r + D 2S b + S r. Let's make T % in the equation. T = 4D 2S b. upstream speed of boat = supstream = v - c. downstream speed of boat = sdownstream = v + c. Upstream data: d = 70 miles, t = hours. supstream = 70 miles/ hours = 70/ (miles/hr) = miles/hr. Downstream data: d = 70 miles, t = 5 hours. sdownstream = 70 miles/5 hours = 10/5 (miles/hr) = 14 miles/hr. a). With this, we arrive at the following equations for the upstream and downstream speeds of the boat� Using our given info, we can use our distance formula to set up our 2 equations: 1. Our upstream given info is D = 70, R = v - c (speed going against the current), T = ; so our upstream equation is (v - c) = 2. Our downstream given info is D = 70, R = v + c (speed going with the current), T = ; so our downstream equation is (v + c) = Part (b). 6. Speed of a boat in standing water is 14 kmph and the speed of the stream is kmph. A man rows to a place at a distance of km and comes back to the starting point. The total time taken by him is� 9. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? A. 8: 3. B. 5: 6.� A Speed Of The Boat In Upstream 0.1 boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 54 km downstream. A. 3 hours. B. 2 hours.

When we move upstream, our speed gets deducted from the speed of the stream. Similarly when we move downstream our speed gets added. Example 1: A boat travels equal distance upstream and downstream. What is the speed of the boat in still water? Example 2: A boat travels equal distance upstream and downstream.

What is the speed of the current? Example 3: A boat is rowed down a river 28 km in 4 hours and up a river 12 km in 6 hours. Find the speed of the boat and the river.

Solution: Downstream speed is ,. Speed of current Downstream�Upstream speed. When the river is running at 1. How far is the place? A man rows a certain distance downstream in X hours and returns the same distance in Y hours. Example 5: Vikas can row a certain distance downstream in 6 hours and return the same distance in 9 hours.

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 required distance be x km. Solution: Let the width of the river be x. Let a, b be the speeds of the ferries. Home G. Maths Reasoning Computer English. Share this page!

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