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a boat takes time t to go downstream from point A to point B and time 2t to go upstream from point B to point A.If the speed of the stream is v and the speed of the boat with respect to the stream is u,then which of the following gives correct relationship b/w u & v?
a)u=v
b)u=3v
c)v=2u
d)v=3u
choose and explain?
Hi Pratiksha,
While going DS, the speed of the boat will be (u+v) wrt ground
and going US it would be (u-v).
Let x be the distance between the points A and B.
So x/(u+v) = t
and x/(u-v) = 2t
or 2x/(u+v) = x/(u-v).
or u=3v.
Option (B)
Regards,
Ashwin (IIT Madras).
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