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A boatman finds that he can save 6 s in ...

A boatman finds that he can save `6 s` in crossing a river by the quickest path than by the shortest path. If the velocity of the boat and the river be, respectively, `17 ms^-1 and 8 ms^-1`, find the river width.

A

`675 m`

B

`765 m`

C

`567 m`

D

`657 m`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `t_(1)-t_(2)=6,t_(1)=d/sqrt(V_(B)^(2)-V_(W)^(2)),t_(2)=d/V_(2)`
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