Question
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 oclock, the true time is:
Answer: Option B
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Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = \(\frac{37}{4}\)
3 min. 5 sec. of this clock = 3 min. of the correct clock.
\(\frac{37}{720}\) hrs of this clock = \(\frac{1}{20}\) hrs of the correct clock.
\(\frac{37}{4}\) hrs of this clock = \(\left(\frac{1}{20}\times\frac{720}{37}\times\frac{37}{4}\right)\) hrs of the correct clock
= 9 hrs of the correct clock.
So, The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.
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