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

1/8 mile
Start Fraction 1 over 8 End Fraction mile

160 miles
160 miles

1/10 mile
Start Fraction 1 over 10 End Fraction mile

2 1/2 miles

Answer 1

To solve the problem, we first need to determine the pace of the runner.

The runner completes $\frac{1}{4}$ of a 5-mile race every 8 minutes.

1. Calculate $\frac{1}{4}$ of 5 miles: $$\frac{1}{4}\times 5=\frac{5}{4}=1.25\text{ miles}$$

2. The runner takes 8 minutes to run 1.25 miles. Now, let's find out how far the runner can go in 16 minutes.

Since 16 minutes is double 8 minutes, it would also be double the distance covered in 8 minutes.

3. Calculate the distance in 16 minutes: $$\text{Distance in 16 minutes}=2\times 1.25=2.5\text{ miles}$$

Thus, the runner can go 2.5 miles in 16 minutes.

The correct response is: 2 1/2 miles