a man fires a gun and hears its echo after 5sec .the man moves 310m towards the hill and fires again.if hears the echo after 3sec ,show the sum by calculating the speed of sound
varunaa:
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Let Distance be equal to 'x'
Then the total distance to travel
= 2x
Time = 5s
Speed = Distance/Time
Speed = 2x/5. eq.1
2nd situation
Distance = x - 310
Total distance = 2(x-310)
= 2x - 620
Time = 3 sec
Speed = (2x - 620)/3. eq.2
From eq.1 and eq.2
2x/5 = (2x-620)/3
6x = 5(2x - 620)
6x = 10x - 3100
4x = 3100
x = 3100/4 = 775
775m is the distance
Speed = 2x/5. from eq.1
= 2(775)/5
= 1550/5
= 310m/s
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