A man crosses a river in a boat

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A man crosses a river in a boat. If he crosses the river in minimum time, he takes 10 min10\text{ min} and drifts 120 m120\text{ m}. If he crosses along the shortest path, he takes 12.5 min12.5\text{ min}. Find (1) the width of the river, (2) the velocity of the boat with respect to water, (3) the speed of the current.

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