2003 AMC 12B Problem 11
Attempt Problem 11 of the 2003 AMC 12B 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 2003 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
Cassandra sets her watch to the correct time at noon. At the actual time of PM, she notices that her watch reads and seconds. Assuming that her watch loses time at a constant rate, what will be the actual time when her watch first reads PM?
PM and seconds
PM
PM
PM
PM
Answer: C
Small hint:
In real minutes the watch records only minutes
Big hint:
If the watch shows minutes past noon, the real time is
Solution:
In real minutes the watch advances only minutes seconds minutes. So when the watch shows minutes past noon, the real elapsed time is minutes.
The watch reads PM after recorded minutes, so the real elapsed time is minutes hours minutes past noon. The actual time is PM.
Thus, the correct answer is C.
Problem 11 in other years
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