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A watch gains time uniformly. It is 2 minutes slow at noon on Sunday, and is 4 minutes 48 seconds fast at 2 pm on the following Sunday. When was it correct? A. 1:00 pm on Monday B. 2:00 pm on Tuesday C. 3:15 pm on Thursday D. 3:15 pm on Wednesday |
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Answer» Correct option: B. 2:00 pm on Tuesday Explanation: From Sunday noon to the following Sunday at 2 pm there are 7 days 2 hours or 170 hours. The watch gains 2 + 4 4/5 = 34/5 minutes in 170 hrs. Therefore, the watch gains 2 minutes in 2 x 5/34 x 170 = 50 hours. Now, 50 hours means 2 days and 2 hours. 2 days and 2 hours from Sunday noon would be 2 pm on Tuesday. |
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