Solve this multi-step problem. A runner completes 14 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

A. 2 1/2 miles

B. 1/8 mile

C. 1/10 mile

D. 160 miles

Answer 1

To solve the problem, we first need to determine the runner's speed. The runner completes \( \frac{1}{4} \) of a 5-mile race every 8 minutes.

1. First, calculate how far the runner runs in 8 minutes:

   • \( \frac{1}{4} \) of 5 miles is: \[ \frac{1}{4} \times 5 = 1.25 \text{ miles} \]

2. Now we find the runner's speed in miles per minute:

   • If the runner covers 1.25 miles in 8 minutes, we can find the rate per minute: \[ \text{Speed} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \]

3. Next, we will calculate how far the runner can run in 16 minutes: \[ \text{Distance} = \text{Speed} \times \text{Time} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} \] \[ \text{Distance} = 2.5 \text{ miles} \]

So, at that pace, the runner can go 2.5 miles in 16 minutes.

The correct answer is:

A. 2 1/2 miles