Question

Wind is blowing west to east along two parallel tracks two trains moving with same speed in opposite direction have the relative velocity w.r.t wind in the ratio $1:2$, the speed of each train is:

• A. equal to that of wind
• B. double that of wind
• C. three times that of wind
• D. half that of wind

Answer 1

The correct option is C three times that of wind

Let v be the velocity of the train and w be the velocity of the wind, Relative bvelocity of train A with respect to wind $=v+w$

The Relative velocity of the train with respect to wind $=v-w$

$v+w=2(v-w)\Rightarrow v=3w$

Thus the velocity of each train is three times the velocity of the wind.