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Question

# A swimmer swims in still water at a speed =5km/h. He enters a 200m wide river, having river flow speed =4km/hr at point A and proceeds to swim at an angle of 127o with the river flow direction. Another point B is located directly across A on the other side. The swimmer lands on the other bank at a point C, from which he walks the distance CB with a speed =3km/hr. The total time in which he reaches from A to B is

A
5minutes
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B
4minutes
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C
3minutes
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D
none
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Solution

## The correct option is B 4minutestimetakentocrosstheriveris0.25cos370=0.24=.05hours=3minhorizontaldisplacementofthemanis.05(4−5sin370)=0.05kmtimetocoverthisdistanceis:0.053×60=1mintotaltimetaken=3+1=4min

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