# How far will sound wave travel in 2 minutes?

• Dec 8th 2010, 05:36 PM
kys890
How far will sound wave travel in 2 minutes?

The speed of sound is 331.6 meters per second. in miles how far will sound travel in 2 minutes?
• Dec 8th 2010, 06:50 PM
Bacterius
You know there are $\displaystyle 60$ seconds in a minute. If sound travels $\displaystyle 331.6$ meters per second, then it must travel $\displaystyle 331.6 \times 60$ meters in a minute, hence $\displaystyle 331.6 \times 60 \mathbf{\times 2}$ meters in two minutes.

That gives us a speed of $\displaystyle 39792$ meters per two minutes.

Now $\displaystyle 1$ mile is equivalent to $\displaystyle \mathbf{1609}$ meters, so how many miles make up for $\displaystyle 39792$ meters ? You set up an equation $\displaystyle 39792 = \mathbf{1609}d$ where $\displaystyle d$ is the distance in miles, because $\displaystyle \mathbf{1609}$ times the number of miles gives the distance in meters. Divide each side by $\displaystyle \mathbf{1609}$, and you obtain :

$\displaystyle d = \frac{39792}{\mathbf{1609}} = 24.7$ miles.

Therefore, in two minutes, sound travels about $\displaystyle 24.7$ miles.