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

A water pump moves water at a rate of 15 gallons per minute. At this rate, how many gallons does the pump move in one hour?

A water pump moves water at a rate of 15 gallons per minute. At this rate, how many gallons does the pump move in one hour?

Answer and explanation

Answer: D: 900

Convert the rate from per minute to per hour. An hour has 60 minutes, so the pump moves 15×60=90015 \times 60 = 900 gallons in one hour, choice D. Dimensional analysis confirms the setup: 15 gal1 min×60 min1 hr=900galhr\frac{15 \text{ gal}}{1 \text{ min}} \times \frac{60 \text{ min}}{1 \text{ hr}} = 900 \frac{\text{gal}}{\text{hr}}, with minutes canceling. Choice A (150) comes from multiplying by 10, and choice C (75) from multiplying by 5, neither of which matches the number of minutes in an hour. Choice B (60) is the number of minutes itself and ignores the pumping rate.

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