To solve the problem, we first need to determine the pace of the runner.
The runner completes \( \frac{1}{4} \) of a 5-mile race every 8 minutes.
-
Calculate \( \frac{1}{4} \) of 5 miles: \[ \frac{1}{4} \times 5 = \frac{5}{4} = 1.25 \text{ miles} \]
-
The runner takes 8 minutes to run 1.25 miles. Now, let's find out how far the runner can go in 16 minutes.
Since 16 minutes is double 8 minutes, it would also be double the distance covered in 8 minutes.
- Calculate the distance in 16 minutes: \[ \text{Distance in 16 minutes} = 2 \times 1.25 = 2.5 \text{ miles} \]
Thus, the runner can go 2.5 miles in 16 minutes.
The correct response is: 2 1/2 miles