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
110 mile
Start Fraction 1 over 10 End Fraction mile
212 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
18 mile
To find out how far the runner can go in 16 minutes, we need to determine the distance covered in 1 minute and then multiply it by 16.
The runner completes 14 miles in 8 minutes, so in 1 minute, the runner covers 14 miles / 8 minutes = 1.75 miles.
Therefore, in 16 minutes, the runner can cover 1.75 miles/minute * 16 minutes = 28 miles.
So, the runner can go 28 miles in 16 minutes.
To solve this problem, we can set up a proportion equation.
The runner completes 14 miles every 8 minutes, so the rate is 14 miles / 8 minutes.
We want to find out how far the runner can go in 16 minutes, so we can set up the proportion:
(14 miles / 8 minutes) = (x miles / 16 minutes)
To solve for x, we can cross multiply:
14 miles * 16 minutes = 8 minutes * x miles
224 miles = 8x
To isolate x, divide both sides of the equation by 8:
224 miles / 8 = x
x = 28 miles
Therefore, at the same pace, the runner can go 28 miles in 16 minutes.
To solve this multi-step problem, we need to find the distance that the runner can cover in 16 minutes.
First, we need to determine the rate at which the runner is completing the race. We are given that the runner completes 14 of a 5-mile race every 8 minutes. To find the rate per minute, we can divide the distance by the time:
5 miles / 8 minutes = 0.625 miles per minute.
Next, we can calculate how far the runner can go in 16 minutes by multiplying the rate per minute by the time:
0.625 miles per minute * 16 minutes = 10 miles.
Therefore, the runner can go 10 miles in 16 minutes.