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

160 miles

1/10 mile

2 1/2 miles

Answer 1

To find how far the runner can go in 16 minutes, we can set up a proportion.

Since the runner completes 1/4 of the 5-mile race every 8 minutes, we can write the proportion:

(1/4 mile)/(8 minutes) = x miles/16 minutes

To solve for x, we can cross multiply:

8 minutes * x miles = 16 minutes * (1/4 mile)

8x = 4

Dividing both sides of the equation by 8 gives us:

x = 1/2

So, the runner can go 1/2 mile in 16 minutes.

Therefore, the correct answer is: 1/2 mile.