Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)

Question

Responses

Answer 1

To solve the problem, we first need to determine the runner's pace and then use that pace to calculate how far they can run in 16 minutes.

1. Find the pace per minute: The runner completes \( \frac{1}{4} \) of a 5-mile race (which is \( \frac{1}{4} \times 5 = 1.25 \) miles) in 8 minutes.

   \[ \text{Pace} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \]

2. Calculate the distance in 16 minutes: Now, to find out how far the runner can go in 16 minutes, we multiply the pace by the time:

   \[ \text{Distance in 16 minutes} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]

Thus, at that pace, the runner can cover 2.5 miles in 16 minutes.