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
In 8 minutes, the runner completes 1/4 of the race, which is 5 * 1/4 = 1.25 miles.
Therefore, in 16 minutes, the runner can complete 2 * 1.25 = <<2*1.25=2.5>>2.5 miles. Answer: \boxed{2.5}.
To find out how far the runner can go in 16 minutes, we need to calculate how many "1/4 of a 5 mile race" the runner can complete in 16 minutes.
Step 1: Calculate how many "1/4 of a 5 mile race" can be completed in 8 minutes.
The runner completes 1/4 of a 5 mile race every 8 minutes, so in 8 minutes the runner covers:
1/4 * 5 = 5/4 = 1.25 miles
Step 2: Calculate how many times the runner can complete 1/4 of a 5 mile race in 16 minutes.
Since the runner can complete 1/4 of a 5 mile race in 8 minutes, in 16 minutes the runner can complete:
16 minutes / 8 minutes = 2 times
Step 3: Calculate the total distance the runner can go in 16 minutes.
Since the runner can complete 1/4 of a 5 mile race in 8 minutes, and in 16 minutes the runner can complete it 2 times, the runner can cover:
1.25 miles * 2 = 2.5 miles
Therefore, the runner can go 2.5 miles in 16 minutes.
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.
Given that the runner completes 1/4 of the 5-mile race in 8 minutes, we can calculate the distance covered in 1 minute.
1/4 of a 5-mile race is 5/4 miles (since 5 divided by 4 is 1.25 miles).
To find the distance covered in 1 minute, we divide 5/4 miles by 8 minutes:
(5/4) miles ÷ 8 minutes = 5/32 miles per minute
Now, to find the distance the runner can go in 16 minutes, we multiply the distance covered in 1 minute by 16:
(5/32) miles per minute × 16 minutes = 80/32 = 2.5 miles
Therefore, the runner can go 2.5 miles in 16 minutes while maintaining the same pace.