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  4. A man who can swim at the rate of 2 km/hr (in still river) crosses a river to a point exactly opposite on the other bank by swimming in a direction of 120° to the flow of the water in the river. The velocity of the water current in km/hr is

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Q. A man who can swim at the rate of $2 \,km/hr$ (in still river) crosses a river to a point exactly opposite on the other bank by swimming in a direction of $120^{\circ}$ to the flow of the water in the river. The velocity of the water current in km/hr is ________

Motion in a Plane

Solution:

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Let speed of current be $u$
For net velocity of man to be normal to river flow
$2\,cos\,60^{\circ}=u$
or $u=1\,km/hr$