Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?

Because the trains travel in opposite directions, their speeds add to give the rate at which they move apart. They are 232 miles apart after 2 hours, so their combined speed is 232 ÷ 2 = 116 mph. The faster train is 12 mph faster, so the speeds are (116 − 12) ÷ 2 = 52 mph and 52 + 12 = 64 mph. The correct choice is A: 52 mph and 64 mph.

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