2003 AMC 12B Problem 11
Below is the professionally curated solution for Problem 11 of the 2003 AMC 12B, 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.
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Difficulty rating: 1390
11.
Cassandra sets her watch to the correct time at noon. At the actual time of 1:00 PM, she notices that her watch reads 12:57 and seconds. Assuming that her watch loses time at a constant rate, what will be the actual time when her watch first reads 10:00 PM?
10:22 PM and seconds
10:24 PM
10:25 PM
10:27 PM
10:30 PM
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 10:00 PM after recorded minutes, so the real elapsed time is minutes hours minutes past noon. The actual time is 10:25 PM.
Thus, the correct answer is C.
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