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)
Responses
18 mile
Start Fraction 1 over 8 End Fraction mile
212 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
110 mile
what is the correct answer out of theses
The correct answer is 2 1/2 miles.
To find out how far the runner can go in 16 minutes, we can set up a proportion using the information given.
We know that the runner completes 14 miles in 8 minutes. So, the ratio of miles to time is 14 miles / 8 minutes.
To find out the distance the runner can go in 16 minutes, we can set up the proportion:
14 miles / 8 minutes = x miles / 16 minutes
Now, to find x (the distance the runner can go in 16 minutes), we can cross multiply and solve for x:
14 miles * 16 minutes = 8 minutes * x miles
224 miles = 8x
Divide both sides by 8:
224 miles / 8 = x
x = 28 miles
Therefore, the correct answer is that the runner can go 28 miles in 16 minutes.