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Speed of Boat in Still Water Calculator The fundamental equation is that distance = time rate. Suppose that the speed of the boat in still water is s mph and the time it takes to travel the 10 miles upstream is t hours. Travelling upstream is travelling against the current so the going upstream the boat travels at s - 3 mph. Write the fundamental equation above for the trip upstream. Aug 20, �� Say the speed upstream is Rup, the speed downstream is Rdown, the speed is still water is R, and the time traveled is t. Now, let's translate the question. "A boat travel 25km upstream in the same time it takes to travel 35km downstream." This tells us that. Rdown * t = and. Rup * t = Because the speed of the stream is 3, then we know. Aug 01, �� The speed of a boat in still water is v. The boat is to make a round-trip in a river whose current travels at speed u. Derive a formula for the time needed to make a round trip of total distance D.
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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. In question, you can see that the man takes 40 minutes to travel to B and come back to A. You have to convert this to hours and apply in above equation. We are converting from minutes to hours because we are using speed values in km per hour units. It takes him twice as long to row up as to row down the river. Find the rate of the stream. Solution: Step 1: Calculate upstream and downstream speeds.

Based on our assumptions, you can easily calculate upstream and downstream speeds as shown below. In this type, you have to form linear equations based on conditions given. You have to solve those equations to find the answer. Example Question 5: Kavin can row 10 km upstream and 20 km downstream in 6 hours.

Also, he can row 20 km upstream and 15 km downstream in 9 hours. Find the rate of the current and the speed of the man in still water. Solution: You have to make below assumptions to form equations. You already know the below equation. If you are not clear about this, refer to the equation in type 3. Note: To solve such linear equations, there is another simple shortcut.

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.

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