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Question
A watch, which gains uniformly, is 3 minutes at 12 noon on Monday and is 5 minutes 36 seconds fast at 4 pm on the next Monday. At what time it was showing correct time?
Options
12 am on Tuesday
12 pm on Wednesday
12 am on Thursday
12 pm on Thursday
MCQ
Solution
12 am on Thursday
Explanation:
Number of hours between 12 noon on Monday and 4 p.m. next Monday
= 7 × 24 + 4 = 172 hours
So, Clock gain in 172 hours = 5 min. 36 sec. = 336 sec.
∴ Clock gain in 1 hour = `336/172` sec.
∴ Number of hour required to get a gain of 3 minute (= 180 sec)
`(172 xx 180)/336 = 92.14` hours = 4 days back.
Hence, at 12:00 am on thursday.
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