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

Car A travels 250 miles using 10 gallons of gas. Car B travels 300 miles using 15 gallons of gas. Which car has the better fuel…

Car A travels 250 miles using 10 gallons of gas. Car B travels 300 miles using 15 gallons of gas. Which car has the better fuel efficiency, in miles per gallon?

Answer and explanation

Answer: D: Car A, at 25 miles per gallon

Fuel efficiency is miles per gallon, so divide distance by fuel. Car A: 25010=25\frac{250}{10} = 25 miles per gallon. Car B: 30015=20\frac{300}{15} = 20 miles per gallon. Car A is more efficient, at 25 miles per gallon, choice D. Choice A gets the efficiency values attached to the wrong cars. Choice B names the right car but the wrong number, giving Car B's efficiency to Car A. Choice C names the wrong car, perhaps because Car B traveled farther (300 miles versus 250). Total distance alone does not measure efficiency; the distance per gallon does.

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