A man fires a gun and hears its echo after 5 s. Tge man then moves 310 m towards tge hill and fires again. This time if he hears tge echo after 3 s,calculate the speed of sound.
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let man be at a distance of x metres from the hill first
distance traveled by the sound to come back is 2x
speed of sound v =2x/5
Then he moves 310 m towards the hill
distance between man and hill now =x-310 m
now sound takes 3s to reach back
speed of sound v= 2(x-310)/3
2x/5=2(x-310)/3
3x = 5x-1550
x= 775 m
speed of sound v= 2×775/5 =310 m/s
distance traveled by the sound to come back is 2x
speed of sound v =2x/5
Then he moves 310 m towards the hill
distance between man and hill now =x-310 m
now sound takes 3s to reach back
speed of sound v= 2(x-310)/3
2x/5=2(x-310)/3
3x = 5x-1550
x= 775 m
speed of sound v= 2×775/5 =310 m/s
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