1951 AMC 12 Problem 28
Attempt Problem 28 of the 1951 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 1951 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
28.
The pressure of wind on a sail varies jointly as the area of the sail and the square of the velocity of the wind. The pressure on a square foot is pound when the velocity is miles per hour. The velocity of the wind when the pressure on a square yard is pounds is:
mph
mph
mph
mph
mph
Answer: C
Small hint:
Use and remember that one square yard is nine square feet
Big hint:
The first condition gives
Solution:
Write From we get A square yard has area square feet, so Thus and the positive speed is mph.
Thus, the correct answer is C.
Problem 28 in other years
- 1950 AMC 12
- 1952 AMC 12
- 1953 AMC 12
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- 1955 AMC 12
- 1956 AMC 12
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