1959 AMC 12 Problem 30
Attempt Problem 30 of the 1959 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 1959 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
can run around a circular track in seconds. running in the opposite direction, meets every seconds. What is ’s time to run around the track, expressed in seconds?
Answer: B
Small Hint:
Measure each runner’s speed in laps per second
Big Hint:
Because they run in opposite directions, their speeds add to lap per second
Solution:
If ’s lap time is their relative speed is Thus so seconds.
Therefore, the correct answer is B.
Problem 30 in Other Years
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