# A crime suspect fled the scene when police officers entered the building. How far could he run in 10 minutes if he can run 5 miles per hour?

Aug 24, 2014

The answer is $\frac{5}{6}$ miles.

For unit conversions, we want to use the multiply by 1 method:

$5 \frac{m i}{h} \cdot 10 M I N \cdot \frac{1 h}{60 M I N} = \frac{50}{60} m i = \frac{5}{6} m i$

The 2 left factors are given so we need to determine the ${3}^{r d}$ factor.

We want miles in our answer, we don't want $h$ or $M I N$. We need a conversion ratio between $h$ and $M I N$, so $60 M I N = 1 h$.

We have $M I N$ in the numerator and $h$ in the denominator. So our conversion ration must have $h$ in the numerator and $M I N$ in the denominator so that they will cancel out.