# Math Help - How far will sound wave travel in 2 minutes?

1. ## How far will sound wave travel in 2 minutes?

How would I explain and answer this please?

The speed of sound is 331.6 meters per second. in miles how far will sound travel in 2 minutes?

2. You know there are $60$ seconds in a minute. If sound travels $331.6$ meters per second, then it must travel $331.6 \times 60$ meters in a minute, hence $331.6 \times 60 \mathbf{\times 2}$ meters in two minutes.

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

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

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

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