ACT Math · Ratios, rates, and percents

A runner's pace is 8 minutes per mile. What is this pace in miles per hour?

A runner's pace is 8 minutes per mile. What is this pace in miles per hour?

Answer and explanation

Answer: B: 7.5

The runner covers 11 mile every 88 minutes. There are 6060 minutes in an hour, so the runner covers 608=7.5\frac{60}{8}=7.5 miles per hour, choice B. Choice D (1212) divides 6060 by 55, which would be a 55-minute mile. Choice C (88) reuses the number of minutes as if it were miles per hour. Choice A (6.56.5) subtracts instead of dividing, which does not convert a pace to a speed. Pace and speed are reciprocal measures: a slower pace means a lower speed, and 7.57.5 mph is reasonable for an 88-minute mile.

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