First, we need to determine how much distance the runner covers in 8 minutes. The problem states that the runner completes \( \frac{1}{4} \) of a 5-mile race in 8 minutes.
To find the distance covered in miles:
\[ \text{Distance completed} = \frac{1}{4} \times 5 = \frac{5}{4} = 1.25 \text{ miles} \]
Next, we need to determine how far the runner can go in 16 minutes. Since it takes 8 minutes to cover 1.25 miles, we can find the distance covered in double that time (16 minutes).
\[ \text{Distance in 16 minutes} = 1.25 \text{ miles} \times 2 = 2.5 \text{ miles} \]
Therefore, the runner can go 2 1/2 miles in 16 minutes.
The correct response is: 2 1/2 miles.
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