1958 AMC 12 Problem 24
Attempt Problem 24 of the 1958 AMC 12 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 1958 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
24.
A man travels feet due north at minutes per mile. He returns due south to his starting point at miles per minute. The average rate in miles per hour for the entire trip is:
impossible to determine without knowing the value of
Answer: B
Small hint:
Convert both stated rates to miles per hour
Big hint:
For equal distances, divide twice the one-way distance by the sum of the two travel times
Solution:
The northbound rate is mph, and the southbound rate is mph. For equal distances, the round-trip average is The distance cancels.
Therefore, the correct answer is B.
Problem 24 in other years
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