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
1/8 mile
2 1/2 miles
160 miles
1/10 mile
The runner completes 1/4 of a 5-mile race every 8 minutes. This means the runner completes 1/4 * 5 = 5/4 miles every 8 minutes.
To find out how far the runner can go in 16 minutes, we need to determine how many times the runner can complete 5/4 miles in 16 minutes.
Since 8 minutes is equivalent to 16 minutes / 8 minutes = 2, the runner can complete the 5/4 miles distance 2 times in 16 minutes.
Therefore, the runner can go 5/4 * 2 = 10/4 = 2 1/2 miles in 16 minutes.
Hence, the answer is 2 1/2 miles.
To find out how far the runner can go in 16 minutes, we need to determine the fraction of the total race distance covered in 16 minutes.
In 8 minutes, the runner completes 1/4 of the race distance. Therefore, in 1 minute, the runner completes 1/4 divided by 8, which is 1/32 of the race distance.
Now, we need to find out how many 1/32 distances the runner can complete in 16 minutes.
For every 1 minute, the runner completes 1/32 of the race distance. So, in 16 minutes, the runner can complete 16 multiplied by 1/32, which equals to 16/32 or 1/2 of the race distance.
Therefore, the runner can go 1/2 miles in 16 minutes.
The answer is 2 1/2 miles.