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2003 AMC 12B Question 11

AMC12 · 2003 AMC 12B

Question 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?
  1. $10{:}22$ PM and $24$ seconds
  2. $10{:}24$ PM
  3. $10{:}25$ PM
  4. $10{:}27$ PM
  5. $10{:}30$ PM