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Q.

A man can row a boat at a velocity of 10 m/s in still water. Speed of water in the river is 5 m/s. If the man wishes to cross the river in the minimum possible time, the drift produced is [width of river = 1 km]

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a

500 m

b

250 m

c

375 m

d

450 m

answer is A.

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Detailed Solution

If the man wishes to cross the river in the minimum possible time, then he should row the boat in a direction perpendicular to the direction of motion.∴ tmin=dVb/ω∴ Drift = BC = Vω×tmin=5×100010m=500 m

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A man can row a boat at a velocity of 10 m/s in still water. Speed of water in the river is 5 m/s. If the man wishes to cross the river in the minimum possible time, the drift produced is [width of river = 1 km]