A man stationed between two parallel cliffs fires a gun He hears the first echo after 1 5s - Science - Sound

Question

A man stationed between two parallel cliffs fires a gun He hears
the first echo after 1 5s and the next after 2 5s What is the
distance between the cliffs and when does he hear the third echo?
Take the speed of sound in air as 340m/s

Jyoti Pant · Accepted Answer

Suppose the two cliffs are A and B which are at the distances x
and y from the man respectively
Consider that the echo of 1 5 sec and 2 5 sec are produced by
are produced by cliff A and B
2x = 340 x 1 5
x = 255 m
2y = 340 x 2 5
y = 425 m
Distance between the cliff = x + y = 680 m
The third echo will be heard after 1 5 sec from the time when
the second echo is heard

A man stationed between two parallel cliffs fires a gun . He hears the first echo after 1.5s and the next after 2.5s. What is the distance between the cliffs and when does he hear the third echo? Take the speed of sound in air as 340m/s .