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Question

# A swimmer swims in still water at a speed of 5 km/hr. He enters a 200 m wide river, having a river flow speed of 4 km/hr. He proceeds to swim at an angle of 127∘ with the river flow direction. He reaches directly opposite to the starting point and then swims with the river flow to cover a distance of 200 m. The total time taken by the swimmer to complete his journey is

A
5 min
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B
4 min
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C
3 min
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D
6 min
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Solution

## The correct option is D 6 minGiven, width of the river d=200 m velocity of the river Vr=4 km/hr and, velocity of swimmer in still water Vsr=5 km/hr As per the question, time taken by swimmer to reach directly opposite side is t1=d5cos37∘=0.24 hr=3 min Also, the swimmer swims with the river flow to cover the distance 200 m, time taken by him for this is t2=0.24 hr=3 min Thus, total journey time is t1+t2=6 min

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