A swimmer's speed in the direction of flow of river is 16kmh−1. Against the direction of flow of river, the swimmer's speed is 8kmh−1. Calculate the swimmer's speed in still water and the velocity of flow of the river.
A
12kmph,4kmph
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B
10kmph,3kmph
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C
10kmph,4kmph
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D
12kmph,2kmph
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Solution
The correct option is A12kmph,4kmph Let the velocity of swimmer in still water be Vsr and velocity of river flow be Vr Then, as per question Vr+Vsr=Vs
∴ The swimmer's speed along the direction of flow of river water is Vr+Vsr=16...(1) The swimmer's speed against the flow of the river water is Vsr−Vr=8...(2) from equations (1) and (2) Vsr=12km/h Vr=4km/h