The wall clock at Zebo's house was not working properly. Zebo noticed on Tuesday noon that clock is two minutes slow. He planned to observe the behaviour of clock for a week. On next week same day, he noticed that clock was 4 min 48 sec fast at 02:00 P.M. When did the clock show the correct time?
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12:48 P.M. on Wednesday
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02:12 P.M. on Thursday
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02:00 P.M. on Thursday
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03:36 P.M. on Wednesday
C
Correct answer
Explanation
The clock is 2 min slow on Tuesday 12:00 PM and 4 min 48 sec fast on the next Tuesday 2:00 PM. Total time elapsed = 7 days + 2 hours = 170 hours. Total gain = 2 min + 4 min 48 sec = 6.8 minutes. The clock gains 6.8 minutes in 170 hours. It needs to gain 2 minutes to show correct time. Time taken = (2 / 6.8) * 170 = (20 / 68) * 170 = (5 / 17) * 170 = 50 hours. 50 hours from Tuesday 12:00 PM is Thursday 2:00 PM.