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?

1/10 mile
1/8 mile
2 1/2 miles
160 miles

1 answer

To solve this problem, we can first calculate how many 1/4-mile segments the runner completes in 8 minutes, and then multiply that number by 2 to find how far the runner can go in 16 minutes.

In 8 minutes, the runner completes 1/4 of a 5-mile race, which is 1/4*5 = 5/4 miles.
This means that in 8 minutes, the runner completes 5/4 miles.

To find how far the runner can go in 16 minutes, we need to double the distance traveled in 8 minutes.
So, the runner can go 5/4*2 = 10/4 miles in 16 minutes.

Simplifying 10/4, we get 2 1/2 miles.

Therefore, the runner can go 2 1/2 miles in 16 minutes.