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The minimum time required for a boat to cross a river is 30 min  and the time required for the boat to cross the same river in the shortest possible path is  50 min. In both cases velocity of boat relative to still water is ‘V’  and velocity of water is ‘u’. Then uv  is ______

a
54
b
23
c
45
d
35

detailed solution

Correct option is C

dv=tmin=30   .......(1)Along the shortest possible path, dv2−u2=50   .......(2)∴    v2−u2V=3050 ⇒  uv=45.

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