A watch, which gains uniformly, was observed to be 15 minutes slow at 12 noon on 10th March. It was noticed 25 minutes fast at 8 p.m., 18th March. When did the watch show the correct time?
Explanation:
From 12 noon on 10th March till 8 pm on 18th March, total time elapsed is 200 hours.
The clock was 15 mins slow initially and finally was 25 mins ahead, hence it gained 40 mins.
Clock gained 40 mins in 200 hours.
For the clock to show correct time, it needs to gain 15 mins from the start.
Time taken to gain 15 mins = 15/40 × 200 = 75 hours.
75 hours from 12 noon 10th March will be 3 pm on 13th March.
Hence, option (a).
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