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Q.

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 ______

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a

54

b

23

c

45

d

35

answer is C.

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Detailed Solution

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