1. **State the problem:** Peter runs 1 mile in 7 minutes and 30 seconds. We want to find how many miles he can run in 15 minutes. 2. **Convert time to a consistent unit:** 7 minutes and 30 seconds is equal to $7 + \frac{30}{60} = 7.5$ minutes. 3. **Find Peter's running rate:** The rate is distance divided by time, so $$\text{rate} = \frac{1 \text{ mile}}{7.5 \text{ minutes}} = \frac{1}{7.5} \text{ miles per minute}.$$ 4. **Calculate distance in 15 minutes:** Using the formula $\text{distance} = \text{rate} \times \text{time}$, $$\text{distance} = \frac{1}{7.5} \times 15 = 2 \text{ miles}.$$ 5. **Interpretation:** Peter can run 2 miles in 15 minutes at the same pace. **Final answer:** $2$ miles.