1950 AMC 12 Problem 28
Attempt Problem 28 of the 1950 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 1950 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
28.
Two boys and start at the same time to ride from Port Jervis to Poughkeepsie, miles away. travels miles an hour slower than reaches Poughkeepsie and at once turns back meeting miles from Poughkeepsie. The rate of was:
mph
mph
mph
mph
mph
Answer: B
Small hint:
By the meeting time, has traveled miles
Big hint:
In the same time, has traveled miles
Solution:
At the meeting point, has traveled miles and has traveled miles. Since their travel times are equal, their speeds are in the ratio If ’s speed is then ’s is so Thus and mph.
Thus, the correct answer is B.
Problem 28 in other years
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
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- 1955 AMC 12
- 1956 AMC 12
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