2007 AMC 12B Problem 2
Attempt Problem 2 of the 2007 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
A college student drove his compact car miles home for the weekend and averaged miles per gallon. On the return trip the student drove his parents’ SUV and averaged only miles per gallon. What was the average gas mileage, in miles per gallon, for the round trip?
Answer: B
Small hint:
Average mileage is total miles divided by total gallons, not the average of the two rates
Big hint:
The car uses gallons and the SUV uses gallons
Solution:
The trip home uses gallons, and the return trip uses gallons.
The round trip covers miles on gallons, so the average is
Thus, the correct answer is B.
Problem 2 in other years
- 1950 AMC 12
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