A man is standing between two hills he fires a gun and hears two echos one after 0.3 seconds and another and free 0.5 seconds find the distance between two hills?
Answers
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.
Answer: Distance = Speed x time
1) Distance from first hill - 'x'
-> speed = 340 m/s
-> time = 0.3 s
-> Distance travelled by sound = 2x
2x = 340 x 0.3
2x = 102
x = 102/2
x = 51
2) Distance from second hill - 'y'
-> speed = 340 m/s
-> time = 0.5 s
-> distance travelled by sound = 2y
2y = 340 x 0.5
2y = 170
y = 170/2
y = 85
∴ Distance between the 2 hills = x + y
= 51 + 85
= 136 m
Explanation:
The distance from man to the two hills are calculated first and then added to find the total distance between the two hills.
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