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}.
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?
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