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
If the runner completes 1-4 of a 5 mile race every 8 minutes, that means the runner covers 4/5 of a mile every 8 minutes.
To find out how far the runner can go in 16 minutes, we need to find out how many times 8 goes into 16.
Dividing 16 by 8 gives us a quotient of 2.
Multiplying 2 by 4/5 gives us 8/5.
Therefore, the runner can go 8/5 of a mile in 16 minutes.
To determine how far the runner can go in 16 minutes at the same pace, we first need to calculate the distance covered in 8 minutes.
Given that the runner completes 1-4 (or 4/5) of the race in 8 minutes, we can calculate the distance covered by multiplying this fraction by the total distance of the race:
Distance covered in 8 minutes = (4/5) * 5 miles = 4 miles
Since the runner covers 4 miles in 8 minutes, we can conclude that the runner covers 1 mile every 2 minutes.
To determine how far the runner can go in 16 minutes, divide the total time by the time it takes to run one mile:
Distance covered in 16 minutes = (16 minutes) / (2 minutes/mile) = 8 miles
Therefore, at the same pace, the runner can go 8 miles in 16 minutes.