A boat which has a speed of 5 km h^(-1) ...

A boat which has a speed of 5 km `h^(-1)` in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km `h^(-1)` is

A

1

B

3

C

4

D

`sqrt41`

Text Solution

Verified by Experts

The correct Answer is:

B

Resultant velocity of boat, `v="1 km"/"15 min"`
`="1 km"/"(1/4) h"=4 "km h"^(-1)`
Velocity of river, `v_R=sqrt(v_B^2-v^2)=sqrt(5^2-4^2)=3 "km h"^(-1)`

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