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  4. Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed u along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1:2, then the speed of each train must be

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Q. Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed $u$ along the track so that the relative velocities of the trains with respect to the wind are in the ratio $ 1:2, $ then the speed of each train must be

KEAMKEAM 2007Motion in a Straight Line

Solution:

Let the speed of trains be v.
$ \therefore $ $ \frac{v-u}{v+u}=\frac{1}{2} $
or $ 2v-2u=v+u $
or $ v=3u $