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Q.

When a person wants to cross a river in the least possible time he undergoes a drift of 40 m along the flow of the river. If the width of the river is 100 m and the velocity of river flow is 6 m the velocity of boat in still water is

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a

$10 m / s$

b

$15 m / s$

c

$20 m / s$

d

$25 m / s$

answer is B.

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Detailed Solution

Question Image

(a) time to cross the river $(t) = \frac{100}{V_{B R}}$

$(b) Drift = V_{R} t$

$40 = 6 \frac{100}{V_{B R}}$

$\Rightarrow V_{B R} = 15 m / \sec$

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When a person wants to cross a river in the least possible time he undergoes a drift of 40 m along the flow of the river. If the width of the river is 100 m and the velocity of river flow is 6 m the velocity of boat in still water is