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A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00 p.m. on Wednesday, what is the correct time?
1. 5:36 p.m.
2. 5:30 p.m.
3. 5:24 p.m.
4. 5:18 p.m.

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Correct Answer - Option 1 : 5:36 p.m.

A correct clock moves 24 × 60 = 1440 minutes in 24 hours.

Minutes taken by incorrect clock = 1440 + 10 = 1450.

Total hours from 8:00 a.m. on Monday to 6:00 p.m. on Wednesday = 24 + 24 + 10 =58 hours

Total minutes from 8:00 a.m. on Monday to 6:00 p.m. on Wednesday = 58 × 60 = 3480 minutes

Using unitary method, we get

If incorrect clock takes 1450 minutes then correct clock takes 1440 minutes.

If incorrect clock takes 1 minute then correct clock takes (1440 ÷ 1450) minutes.

If incorrect clock takes 3480 minutes then correct clock takes (1440 ÷ 1450) × 3480 = 3456 minutes.

Converting minutes into hours : 3456 ÷ 60 = 57 hours 36 minutes

Therefore, the correct time is 5:36 p.m.

Hence, 5:36 p.m. is the correct answer.

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