SAT Math · Ratios, rates, proportional relationships, and units · medium

A runner moves at a constant speed of 15 miles per hour. What is this speed in feet per second? (1 mile = 5,280 feet)

A runner moves at a constant speed of 15 miles per hour. What is this speed in feet per second? (1 mile = 5,280 feet)

Answer and explanation

Answer: B: 22

Convert miles to feet and hours to seconds. 15mihr×5280 ft1 mi×1 hr3600 s=79,2003,600=2215 \frac{\text{mi}}{\text{hr}} \times \frac{5280 \text{ ft}}{1 \text{ mi}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{79{,}200}{3{,}600} = 22 feet per second, choice B. A quick check: 60 mph is exactly 88 ft/s, and 1560×88=22\frac{15}{60} \times 88 = 22. Choice A (15) leaves the number unchanged. Choice C (88) is the speed for 60 mph, not 15. Choice D (4.4) does not come from a correct conversion; it would be the speed for 3 mph. Write out the unit conversion so that the units cancel.

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