There are two hills A and B and a car is travelling towards hill A along the line joining the two hills. Car is travelling at a constant speed u. There is a wind blowing at speed u in the direction of motion of the car (i.e., from hill B to A). When the car is at a distance `x_(1)` from A and `x_(2)` from B it sounds horn (for very short interval). Driver hears the echo of horn from both the hills at the same time.

Find the ratio `(x_(1))/(x_(2))` taking speed of sound in still air to ve V.

Answer

`(x_(1))/(x_(2)) = (v+u)/(v-u)`