A man who can swim at a velocity v relative to water wants to cross a river of width b, flowing with a speed u.

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The minimum time in which he can cross the river is bv

He can reach a point exactly opposite on the bank in time t=bv2-u2 if v>u.

He cannot reach the point exactly opposite on the bank if u>v

He cannot reach the point exactly opposite on the bank if v>u

answer is A.

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Detailed Solution

For a minimum time,∴ tmin=bvFor reaching a point exactly oppositeNet velocity =v2-u2 ( but v>u)∴t=b net velocity

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