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Physics-

General

Easy

Question

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 $1 colon 2$ , then the speed of each train must be

$3 u$
$2 u$
$5 u$
$4 u$

The correct answer is: $3 u$

Let the speed of trains be $x$
$therefore fraction numerator x minus u over denominator x plus u end fraction equals fraction numerator 1 over denominator 2 end fraction rightwards double arrow 2 x minus 2 u equals x plus u rightwards double arrow x equals 3 u$

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