The time shown by a watch increased by 5 minutes in 12 hours. If the watch is set to 7 a.m., what will be the correct time if it shows 1 p.m. on the next day?12:34:30 p.m.12:40:30 p.m.12:47:30 p.m.1:34:30 p.m.
Question
The time shown by a watch increased by 5 minutes in 12 hours. If the watch is set to 7 a.m., what will be the correct time if it shows 1 p.m. on the next day?12:34:30 p.m.12:40:30 p.m.12:47:30 p.m.1:34:30 p.m.
Solution
The watch gains 5 minutes every 12 hours.
From 7 a.m. one day to 1 p.m. the next day is a total of 30 hours.
In 24 hours (two 12-hour periods), the watch would gain 10 minutes.
In the remaining 6 hours (half of a 12-hour period), the watch would gain half of 5 minutes, which is 2.5 minutes.
So, in total, the watch would gain 10 minutes + 2.5 minutes = 12.5 minutes in 30 hours.
If the watch shows 1 p.m., the correct time would be 1 p.m. - 12.5 minutes = 12:47:30 p.m.
So, the correct answer is 12:47:30 p.m.
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