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A man fires a gun and hears its echo aft...

A man fires a gun and hears its echo after 5 s. The man then moves 310 m towards the hill and fires his gun again. If he hears the echo after 3 s, calculate the speed of sound.

Text Solution

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Distance (d) = velocity (v) `xx` time (t)
Distance travelled by sound when gun fires first time, `2d=vxx5" "` (1)
Distance travelled by sound when gun fires second time, `2d-620=vxx3" "` (2)
Rewriting equation (2) as,
`2d=(vxx3)+620" "` (3)
Equating (1) and (3), `5v=3v+620`
`2v=620`
Velocity of sound, `v=310" m s"^(-1)`
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