Katerina runs $15$ miles in $2\dfrac{1}{2}$ hours. What is the average number of minutes it takes her to run $1$ mile?

$6$

$10$

$12 \dfrac{1}{2}$

$16 \dfrac{2}{3}$

$17 \dfrac{1}{2}$

Approach

We can set up a proportion, as long as we keep the units consistent. Changing $2\frac{1}{2}$ hours into $150$ minutes is appropriate.

$$ \frac{x \text{ minutes}}{1 \text{ mile}} = \frac{150 \text{ minutes}}{15 \text{ miles}} $$ $$ x=\boxed{10} $$