A boat, which has a speed of 5 km/h in still water, crosses a river of width 1 km along the shortest path possible in 15 minutes. Then the velocity of the river in km/h is

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Solution

Velocity of boat in still water is 5 km/hr. As the width of the river is 1 km and time taken by the boat to cross the river along the shortest path is 15 min, therefore the velocity of the boat is 4 km/h.
According to the figure the velocity of the river is along AB. By applying triangle law of vector addition, the value of AB comes to be 3 km/h.

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