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
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.
To solve this problem, we can first find the distance covered by the runner in one minute. Since the runner completes 1/4 of a 5-mile race in 8 minutes, it means the runner covers 1/4 of a mile in 8 minutes.
To find the distance covered in one minute, we divide the distance covered in 8 minutes by 8:
1/4 mile ÷ 8 minutes = 1/32 mile per minute.
Now, to find how far the runner can go in 16 minutes, we multiply the distance covered in one minute by 16:
1/32 mile per minute × 16 minutes = 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes.
To solve this multi-step problem, we first need to find out how much distance the runner covers in 1 minute.
We know that the runner completes 1/4 of a 5-mile race every 8 minutes.
So, to find out how much distance the runner covers in 1 minute, we need to divide the distance covered in 8 minutes by 8.
1/4 of a 5-mile race is (1/4) * 5 = 5/4 = 1.25 miles.
So, the runner covers 1.25 miles in 8 minutes.
To find out how much distance the runner can cover in 1 minute, we divide 1.25 miles by 8:
1.25 miles ÷ 8 = 0.15625 miles (approximately).
Now that we know the runner covers 0.15625 miles in 1 minute, we can find out how far the runner can go in 16 minutes by multiplying the distance covered in 1 minute by 16:
0.15625 miles * 16 = 2.5 miles.
Therefore, at the same pace, the runner can go 2.5 miles in 16 minutes.
So, the correct answer is 2 1/2 miles (or 2.5 miles).