In 6 minutes, the runner completes 1/4 of a 5-mile race, which is 1/4 * 5 = 5/4 = 1.25 miles.
Therefore, in 16 minutes, the runner can complete 16 / 6 = <<16/6=2.6666666666666665>>2.67 portions of the race.
So, the runner can go 2.67 * 1.25 = <<2.67*1.25=3.3375>>3.3375 miles in 16 minutes. Answer: \boxed{3.3375}.
A runner competes 1/4 of a 5 mile race every six minutes at the same pace. How far can the runner go in 16 minutes
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