Question
A watch, which gains uniformly is 2 min slow at noon on Monday and is 4 min, 48s fast at 2 pm on the following Monday. At what time it was correct?
Answer: Option B
Answer: (b)
Time from Monday noon (12 pm) to 2 pm the following Monday = 7 days 2 h = 170 h
Now, the watch gains (2 + 4 4/5) min from Monday (12 pm) to 2 pm,
the following Monday. In other words, the watch gains 34/5 min in 170 h.
Therefore, it will gain 2 min in (170 × 5/34 × 2) = 50 h = 2 days 2 h
Therefore, the watch is correct after 2 days 2 h from Monday noon or at 2 pm Wednesday.
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Answer: (b)
Time from Monday noon (12 pm) to 2 pm the following Monday = 7 days 2 h = 170 h
Now, the watch gains (2 + 4 4/5) min from Monday (12 pm) to 2 pm,
the following Monday. In other words, the watch gains 34/5 min in 170 h.
Therefore, it will gain 2 min in (170 × 5/34 × 2) = 50 h = 2 days 2 h
Therefore, the watch is correct after 2 days 2 h from Monday noon or at 2 pm Wednesday.
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