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In every 30 minutes, the time displayed by a watch increases by 3 minutes. After showing the correct time at 5 AM, what time will the watch show after 6 hours?

A. 10:54 AM
B. 11:30 AM
C. 11:36 AM
D. 11:42 AM

Answer :

Final answer:

The watch, which gains 3 minutes every half hour, will show 11:36 AM after 6 hours starting from 5 AM because it will gain a total of 36 minutes during that time. The Correct Answer is Option.C.

Explanation:

The question is about finding out what time a faulty watch will display after a certain period. Given the watch gains 3 minutes every 30 minutes, we need to calculate the total gain over a span of 6 hours after the watch shows the correct time at 5 AM.

Here's how it's done:

  • Since the watch gains 3 minutes every 30 minutes, it will gain 6 minutes every hour because there are 2 periods of 30 minutes in an hour.
  • In 6 hours, the watch will therefore gain 6 hours x 6 minutes/hour = 36 minutes.
  • To find the time the watch will show, we add the gain to the initial time. Starting from 5 AM, after 6 hours it would be 11 AM on a correct timekeeping device. We then add the gained time: 11:00 AM + 0:36 = 11:36 AM.

Therefore, after 6 hours, the watch will show 11:36 AM.

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