AMC 12B 2003 Problem 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 36 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?

Answer Choices
A. 10:22 PM and 24 seconds
B. 10:24 PM
C. 10:25 PM
D. 10: 27 PM
E. 10:30 PM