The Johnson family's old clock gains time. One Monday morning, they noticed that it was 8 minutes behind at 7:00 AM. A week later, on Monday evening at 7:00 PM, it was 7 minutes and 36 seconds ahead. When will the clock show the correct time?
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Friday 3:18 AM
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Friday 7:48 AM
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Thursday 7:18 PM
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Thursday 3:38 AM
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a
A
Correct answer
Explanation
Total time from Monday 7 AM to next Monday 7 PM is 7 days + 12 hours = 180 hours. Total gain = 8 minutes + 7 minutes 36 seconds = 15.6 minutes = 936 seconds. Gain rate = 936 / 180 = 5.2 seconds per hour. To gain 8 minutes (480 seconds), time needed = 480 / 5.2 = 92.307 hours = 3 days and 20.3 hours. Monday 7 AM + 3 days 20 hours = Friday 3 AM.