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
1/8 mile
160 miles
1/10 mile
2 1/2 miles
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.
To solve this problem, we can set up a proportion:
1/4 mile / 8 minutes = x miles / 16 minutes
To find x, we can cross-multiply and solve for x.
(1/4) * 16 = 8x
4 = 8x
x = 4/8
x = 1/2 mile
Therefore, at the same pace, the runner can go 1/2 mile in 16 minutes.
To solve this multi-step problem, we need to find out how far the runner can go in 16 minutes at the same pace as completing 1/4 of a 5-mile race every 8 minutes.
First, let's calculate the distance the runner can cover in 1 minute. We know that the runner completes 1/4 of a 5-mile race in 8 minutes, so in 1 minute, the runner covers 1/4 divided by 8, which is 1/32 of a mile.
Next, we need to determine how far the runner can go in 16 minutes. Since the runner covers 1/32 mile in 1 minute, in 16 minutes, the runner can cover 16 multiplied by 1/32, which is 1/2 of a mile.
Therefore, the runner can go 1/2 of a mile in 16 minutes at the same pace. Thus, the correct response is "2 1/2 miles".