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Q.

A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 m. If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

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a

20 m/min

b

10 m/min

c

8 m/min

d

12 m/min

answer is A.

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Detailed Solution

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Question Image
Question Image

10 = Lv-------(i)

12.5 = Lv2-u2 = Lv1-u2v2----(ii)

45 = 1-122v2

1625 = 1-122v2  122v2 = 1-1625 = 925

12v = 35   v = 12×53 = 20 m/min

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