Q.

A boat which has a speed of 5 kmph in still water crosses a river of width 1 km along the shortest path in 15 min. Velocity of river in kmph is ?

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a

1

b

3

c

4

d

41

answer is B.

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Detailed Solution

VBW=5kmph W=1km; t=15min=14Hr VW=? Time taken in shortest path method =t=WvBW2−vW2 14=W52−vw2=152−vw2 ⇒4=52−vw2 ⇒16=25−vw2 ⇒vw=3kmph
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A boat which has a speed of 5 kmph in still water crosses a river of width 1 km along the shortest path in 15 min. Velocity of river in kmph is ?