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Boat Speed Calculator Dec 11, �� Speed of boat in still water can be computed using below formula. B = S*((T1 + T2) / (T1 � T2)) How does this formula work? Since the point is same, distance traveled during upstream should be same as downstream. Therefore, (B � S) * T1 = (B + S) * T2 B(T1 � T2) = S*(T1 + Speed Of Boat In Still Water Formula Excel T2) B = S*(T1 + T2)/(T1 � T2). 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. What is speed at which the boat travels downstream? 33 miles / 3 hour = 11 mph and Let x = represent the speed of boat 50 miles / 2 hour = 25 mph and Let y = represent the speed of water current.
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In upstream motion, the speed of the boat is equal to the difference of the speed of boat in Speed Of Boat In Still Water Calculator Unity still water and the speed of river water. Problem: A motorboat going downstream overcame a raft at a point A; one hour later it turned back and after some time passed the raft at a distance 6.

Find the flow velocity. The velocity of the river water is? Solution: The boat crosses the river by the shortest path if it moves perpendicular to the river current. The velocity of the boat in still water is equal to the relative velocity of the boat w. Question: You cannot cross a river to an exactly opposite point if your speed in still water is less than the speed of river water.

True B. He should swim in a direction? The velocity of the man in still water is equal to the relative velocity of the man w. Hence, the man takes the shortest time when he swims perpendicular to the river velocity i. Problem: A boat must get from point A to point B on the opposite bank of the river moving along a straight line AB that makes degree angle with the flow direction. If distance AB is 2. The velocity of the boat relative to the ground should be along the line AB.

Question: To cross a river in minimum time, your speed relative to the water should be perpendicular to the river flow. At what angle to the stream direction must the boat move to minimize drifting? Solution: The drift is zero if boat reaches directly opposite point.

The boat cannot cross the river to an exactly opposite point. Solution: From the question, you can write down the below values.

You have to substitute the above values in the below formula. This type is similar to type 1. But there is one difference. 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 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. 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.

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