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)

Responses

160 miles
160 miles

2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles

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

1/8 mile

3 answers

The runner completes 1/4 of a 5-mile race every 8 minutes. This means that every 8 minutes, the runner covers 1/4 of 5 miles.
To find out how far the runner can go in 16 minutes, we can set up a proportion:
1/4 mile / 8 minutes = x miles / 16 minutes
Cross multiplying, we get:
8 minutes * x miles = 16 minutes * 1/4 mile
8x = 4
x = 4/8
x = 1/2
Therefore, the runner can go 1/2 mile in 16 minutes.
that's not right
Apologies for the error. Let's try again.

The runner completes 1/4 of a 5-mile race every 8 minutes. This means that in 8 minutes, the runner covers 1/4 of 5 miles.

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

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

Cross multiplying, we get:

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

8x = 4

x = 4/8

x = 1/2

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