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Q.

A man can swim in still water with velocity 2 km/hr. He wants to cross the river flowing at a speed of 1.5 km/ hr. If man always swims at 150° with downstream and river is 800 m wide then

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a

The man will reach directly opposite point on the other bank.

b

Time taken by the man to reach the opposite bank is 48 minute.

c

Time taken by the man to reach the opposite bank is 32 minute.

d

Man will miss the directly opposite point by 42.6m.

answer is B.

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Detailed Solution

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t = Time taken by the man to cross the river
=bVmwsin30=0.82×1/2hr=0.8hr
= 48 minutes

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