Multiple choice

My watch, which gains uniformly, is 2 minutes behind at noon on Saturday. It is 4 minutes and 48 seconds ahead at 3:00 p.m. the following Monday. When does it show the correct time?

  1. 3:00 a.m. Sunday

  2. 1:00 a.m. Sunday

  3. Midnight Monday

  4. 1:00 a.m. Monday
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A Correct answer
Explanation

Total time from Sat noon to Mon 3pm is 51 hours. Total gain = 2 min + 4 min 48 sec = 6.8 minutes. Gain per hour = 6.8 / 51 = 2/15 minutes per hour. To show correct time, it must gain 2 minutes. Time taken = 2 / (2/15) = 15 hours. 15 hours after Sat noon is Sun 3 a.m.

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