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?
The runner completes 1/4 of the race in 8 minutes, so the runner completes 1/4 * 5 miles = <<1/4*5=1.25>>1.25 miles in 8 minutes.
Since the runner runs at the same pace, the runner can complete 1.25 miles in 16 minutes, since 16 minutes / 8 minutes = <<16/8=2>>2.
Thus, the runner can go 1.25 miles * 2 = <<1.25*2=2.5>>2.5 miles in 16 minutes. Answer: \boxed{2.5}.
To solve this multi-step problem, we will use the information given and perform the necessary calculations step-by-step.
Step 1: Find the distance the runner covers in 1 minute.
We know that the runner completes 1/4 of a 5-mile race every 8 minutes. Therefore, in 1 minute, the runner covers:
(1/4 mile) / 8 minutes = 1/32 mile per minute.
Step 2: Find the distance the runner can cover in 16 minutes.
Since the runner covers 1/32 mile per minute, in 16 minutes the runner can cover:
(1/32 mile per minute) x 16 minutes = 16/32 mile.
Simplifying the fraction, we get:
16/32 mile = 1/2 mile.
Therefore, the runner can cover 1/2 mile in 16 minutes, at the same pace as completing 1/4 of a 5-mile race every 8 minutes.