To determine how far the runner can go in 16 minutes, we first need to find the runner's pace in miles per minute.
The runner completes 1/4 of a 5-mile race in 8 minutes.
First, let's calculate the distance for 1/4 of the race:
\[ \frac{1}{4} \text{ of } 5 \text{ miles} = \frac{5}{4} = 1.25 \text{ miles} \]
Since the runner takes 8 minutes to complete 1.25 miles, we can find the pace in miles per minute:
\[ \text{Pace} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \]
Now we want to find out how far the runner can go in 16 minutes. We can calculate this using the pace:
\[ \text{Distance in 16 minutes} = \text{Pace} \times 16 \text{ minutes} \] \[ \text{Distance} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]
Therefore, at the same pace, the runner can go 2 1/2 miles in 16 minutes.
The correct answer is:
2 1/2 miles.
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