1952 AMC 12 Problem 25
Attempt Problem 25 of the 1952 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 1952 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
25.
A powderman set a fuse for a blast to take place in seconds. He ran away at a rate of yards per second. Sound travels at the rate of feet per second. When the powderman heard the blast, he had run approximately:
yd.
yd.
yd.
yd.
yd.
Answer: D
Small hint:
Let be the total number of seconds from lighting the fuse until the sound is heard
Big hint:
At time , the sound has traveled for seconds and must cover the runner’s distance
Solution:
Let be the total time in seconds. The powderman is yards, or feet, from the blast. Because the sound starts after seconds, Thus seconds, and the distance he ran is
Approximately yards is the listed value, so the correct answer is D.
Problem 25 in other years
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