A clock is set to the right time at 4:00 AM on Thursday. If it gains 20 seconds in every 3 hours, then what is the time shown on the clock at 8:30 PM

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A clock is set to the right time at 4:00 AM on Thursday. If it gains 20 seconds in every 3 hours, then what is
the time shown on the clock at 8:30 PM on Friday night?
1. 8 hours 34 minutes PM
2. 9 hours 34 minutes PM
3. 8 hours 34 minutes 30 seconds PM
4. 8 hours 30 minutes 30 seconds PM
5. None

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Correct Answer - Option 3 : 8 hours 34 minutes 30 seconds PM

No. of hours between 4:00 AM on Thursday and 8:30 PM on Friday = 40 hours and 30 minutes

Gain in 3 hours = 20 seconds

Therefore, gain in 1 hour = 20/3 seconds

⇒ gain in 40.5 hours = 270 seconds = 4 minutes 30 seconds

Therefore, the time shown = 8:30 + 4 minutes 30 seconds

Hence, '8 hours 34 minutes 30 seconds PM' is the correct answer.

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