Question

A boy hears an echo of his own voice from a distant hill after one second . The speed of sound in air is 330 m/s . What is the distance of hill from the body ?

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Answer 1

$\huge \fbox \red{Answer}$

Given:

Time = 1sec

Speed = 330m/s

To Find:

Distance of the hill

Solution:

As we know,

Speed = Distance/Time

∴ Distance = Speed × Time

= 330 × 1/2

= 115m

Hence, the distance of hill from the body is 115m.

Answer 2

Given :-

• A boy hears an echo of his own voice from a distant hill after one second .
• Speed of sound in air is 330 m/s

To Find :-

• Distance of hill from the boy

Solution :-

→ Let ' d ' be the distance of the hill from the body .

→ Total distance travelled by the sound in going and coming back is ' 2d '

→ Now ,

$\mathcal{\underline{\underline{\boxed{Speed\;of\;sound=\dfrac{Total\;distance}{Time\;taken} }}}}}$

$\sf \therefore V = \dfrac{2d}{t} \;or\; d = \dfrac{V \times t }{2}$

$\sf \implies d = \dfrac{330 \times 1 }{2}$

$\sf \implies d = 165 \; m$

∴ The distance b/w hill and the boys is 165 m