Answer :
Final answer:
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.
