To find out how far the runner can go in 16 minutes at the same pace, we first need to determine the runner's pace based on the information given.
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The runner completes \( \frac{1}{4} \) of a 5-mile race in 8 minutes. \[ \text{Distance covered in 8 minutes} = \frac{1}{4} \times 5 = \frac{5}{4} \text{ miles} \]
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Next, we find the runner's speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{5}{4} \text{ miles}}{8 \text{ minutes}} = \frac{5}{32} \text{ miles per minute} \]
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Now we can determine how far the runner can go in 16 minutes: \[ \text{Distance in 16 minutes} = \text{Speed} \times \text{Time} = \frac{5}{32} \text{ miles per minute} \times 16 \text{ minutes} \] \[ = \frac{5 \times 16}{32} = \frac{80}{32} = \frac{5}{2} \text{ miles} = 2 \frac{1}{2} \text{ miles} \]
Thus, the runner can go \( 2 \frac{1}{2} \) miles in 16 minutes.
The correct response is: 2 Start Fraction 1 over 2 End Fraction miles.