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

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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.

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