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? (2003 AMC 12B Problems, Question \#11) 
选项为:A:$10:22$ PM and $24$ seconds  B:$10:24$ PM  C:$10:25$ PM  D:$10:27$ PM  E:$10:30$ PM  请回答其中一个选项.