Question
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
Answer: Option B
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Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.
So, The watch gains \(\left(2+4\frac{4}{5}\right)min. or \frac{34}{5}min. in 170 hrs\)
Now, \(\frac{34}{5}\) min. are gained in 170 hrs.
So, 2 min. are gained in \(\left(170\times\frac{5}{34}\times2\right)hrs= 50 hrs.\)
So,Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday.
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