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 runnergo in 16 minutes? (1 point)
O 1/8 mile
O 160 miles
O2 1/2 miles
O 1/10 mile
To solve this problem, we need to determine how many fractions of the race the runner can complete in 16 minutes.
Since the runner completes 1/4 of the race every 8 minutes, we can calculate how many fractions the runner can complete in 16 minutes by dividing 16 by 8:
16 / 8 = 2
This means that the runner can complete 2 fractions of the race in 16 minutes.
To find out how far the runner can go in 16 minutes, we need to multiply the number of fractions completed (2) by the distance covered in one fraction of the race (1/4 mile):
2 * 1/4 = 2/4 = 1/2 mile
Therefore, the runner can go 1/2 mile in 16 minutes.
Therefore, the correct answer is:
O 2 1/2 miles
To solve this multi-step problem, we can use the information given about the runner's pace: the runner completes 1/4 of a 5-mile race every 8 minutes.
First, let's find out how many fractions of the race the runner completes in 1 minute. We can do this by dividing 1/4 by 8:
1/4 ÷ 8 = 1/32
This means the runner completes 1/32 of the race in 1 minute.
Next, to find out how far the runner can go in 16 minutes, we need to multiply the fraction completed in 1 minute by the number of minutes:
1/32 x 16 = 16/32
Simplifying the fraction, we get:
16/32 = 1/2
Therefore, at the same pace, the runner can go 1/2 mile in 16 minutes.
So the answer is:
O 2 1/2 miles
To solve this multi-step problem, we need to find the distance the runner can go in 16 minutes.
Given that the runner completes 1/4 of a 5-mile race every 8 minutes, we know that the runner covers 1/4 of 5 miles in 8 minutes.
To find the distance covered in 16 minutes, we can set up a proportion:
(1/4 mile) / (8 minutes) = (x miles) / (16 minutes)
To solve for x, we can cross-multiply:
8 minutes * x miles = (1/4 mile) * 16 minutes
8x = 4
Now, we can solve for x by dividing both sides of the equation by 8:
8x / 8 = 4 / 8
x = 1/2
Therefore, at the same pace, the runner can go 1/2 mile in 16 minutes.
So, the correct answer is option 2: 1/2 mile.