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Important Formulas - Boats and Streams Dec 11, �� Approach: The direction along the stream is called downstream and the direction opposite the stream is called upstream. So in case of downstream the speeds will be added, while in case of upstream the speeds will be subtracted. The speed of boat downstream is equal to the sum of the speed of the boat in still water and speed of the myboat074 boatplansted Reading Time: 40 secs. Adding the two equations, we get 2b = d + u. ? 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 and streams formulas. Sep 13, �� If in the question, you are provided with the upstream and the downstream speed U and D respectively, to determine the speed of boat and stream the formula goes like Speed of boat B = (D + U) / 2 Speed of stream S = (D - U) / 2 Also, always have with you the basic speed formula.
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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 Boat Upstream And Downstream Formula Mat 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. 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 Boat Upstream And Downstream Formula Online 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.

Here is the video link to that shortcut.

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