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?
1/4 of a 5-mile race is 5/4 * 1/4 = 5/16 miles.
So, the runner can run 5/16 miles in 8 minutes.
Therefore, the runner can run 5/16 * 2 = 10/16 = <<5/8=5/8>>5/8 miles in 16 minutes. Answer: \boxed{\frac{5}{8}}\text{ miles}.
To solve this problem, we need to find out how many 1/4 increments of 5 miles the runner can complete in 16 minutes.
First, let's calculate how many 1/4 increments the runner completes in 1 minute. We can do this by dividing 1/4 by 8: 1/4 ÷ 8 = 1/32.
Next, let's find how many 1/4 increments the runner can complete in 16 minutes. We can do this by multiplying the number of increments in 1 minute (1/32) by the number of minutes (16): 1/32 × 16 = 1/2.
Therefore, the runner can complete 1/2 (or half) of a 5-mile race in 16 minutes. This is equal to 2.5 miles.
To solve this problem, we need to determine how far the runner can go in 16 minutes, given that they complete 1/4 of a 5-mile race every 8 minutes.
First, let's find out how many 8-minute intervals are in 16 minutes. Since each interval is 8 minutes long, we divide 16 by 8:
16 minutes ÷ 8 minutes = 2 intervals
Therefore, the runner can complete 2 intervals in 16 minutes.
Next, let's determine how far the runner can go in 2 intervals. We know that the runner completes 1/4 of a 5-mile race in each interval, so we need to find 1/4 of the total distance covered in a 5-mile race.
1/4 of 5 miles = 5 miles × 1/4 = 5/4 miles
Therefore, the runner can go 5/4 miles in one interval.
Since the runner completes 2 intervals in 16 minutes, we need to find the total distance covered in 2 intervals:
2 intervals × 5/4 miles = 10/4 miles = 2.5 miles
Therefore, the runner can go 2.5 miles in 16 minutes.