A boy fires a gun and another boy at a distance hears the sound of fire $2.5 s$ after seeing the flash. If speed of sound in air is $340 m s^{- 1}$ , find the distance between the boys :

850 m

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8500 m

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1700 m

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none of the above

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Solution

The correct option is A $850 m$
The speed of the sound, distance travelled and the time taken relationship is given as follows.
$S p e e d o f s o u n d = \frac{D i s t a n c e t r a v e l l e d}{T i m e t a k e n}$

From this equation the Distance traveled is derived as

$D i s t a n c e t r a v e l l e d = S p e e d o f s o u n d \times T i m e t a k e n$

That is, $D i s t a n c e t r a v e l e d = 340 m / s \times 2.5 s e c o n d s$
$= 850 m e t e r s .$
Hence distance between boys is 850 m

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A boy fires a gun and another boy at a distance hears the sound of fire 2.5 s after seeing the flash. If speed of sound in air is 340 ms−1, find the distance between the boys :

A boy fires a gun and another boy at a distance hears the sound of fire $2.5 s$ after seeing the flash. If speed of sound in air is $340 m s^{- 1}$ , find the distance between the boys :