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

A car travels 120 miles in 2 hours, then travels an additional 180 miles in 3 hours. What is the car's average speed for the entire trip,…

A car travels 120 miles in 2 hours, then travels an additional 180 miles in 3 hours. What is the car's average speed for the entire trip, in miles per hour?

Answer and explanation

Answer: D: 60

Average speed is total distance divided by total time, not the average of the two speeds. The total distance is 120+180=300120 + 180 = 300 miles and the total time is 2+3=52 + 3 = 5 hours, so the average speed is 3005=60\frac{300}{5} = 60 miles per hour, choice D. The two segment speeds are 60 mph and 60 mph, so the average is consistent. Choice A (65) and choice C (75) are numbers that do not follow from the data and likely come from arithmetic slips such as adding speeds. Choice B (50) comes from dividing the total distance by 6 hours, an incorrect time total.

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