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Question
A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 minutes 48 seconds fast at 2 p.m on the following Monday. When was it correct?
Options
2 p.m. on Tuesday
2 pm on Wednesday
3 pm on Thursday
1 p.m. on Friday
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Solution
2 pm on Wednesday
Explanation:
Time from 12 pm on Monday to 2 pm on the following Monday = 7 days 2 h
So, the watch gains`=2+4 48/60 "min".`
`=6 4/5 "min".`
`34/5` min in 170 h
Now, `34/5` min are gained in 170 h.
∴ 2 min is gained in `70xx5/34xx2`
= 50 h = 2 days 2 hours
So the watch is correct 2 days 2 h after 12 pm on Monday i.e. It will be correct at 2 pm on Wednesday.
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