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------------------------------------------------ In every 30 minutes, the time of a watch increases by 3 minutes. After showing the correct time at 5:00 a.m., what time will the watch show after 6 hours?

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

The watch gains 3 minutes every 30 minutes, so after 6 hours it would've gained a total of 36 minutes. Since the correct time after 6 hours would be 11:00 a.m., the watch will incorrectly show 11:36 a.m. The Correct Answer is Option.C.

Explanation:

The question asks us to calculate what time will be shown on a watch that runs fast after a certain period.

The watch gains 3 minutes every 30 minutes, so over a period of 6 hours, we need to first calculate how many half-hours there are and then determine the total time gained.

Six hours contain 12 half-hour segments (6 hours x 60 minutes per hour / 30 minutes per segment = 12 segments).

For each segment, the watch gains 3 minutes, so over 12 segments, it will gain 36 minutes (12 segments x 3 minutes per segment).

The watch showed the correct time at 5:00 a.m., so after 6 hours, the correct time would be 11:00 a.m.

However, because of the time gained, we need to add the extra 36 minutes to this.

Adding 36 minutes to 11:00 a.m. gives us 11:36 a.m., which is the time the watch will show.