High School

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In every 30 minutes, the time of 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:

After gaining 3 minutes every 30 minutes for 6 hours, a watch that showed the correct time at 5 am will display 11:36 am.

Explanation:

To solve this problem, we need to calculate how many minutes the watch gains per hour.

Given that the watch gains 3 minutes every 30 minutes, it means it gains 6 minutes every hour.

After 6 hours, the watch will have gained 6 minutes x 6 hours = 36 minutes, which is equivalent to 11:36 am.

The question deals with calculating the time a defective watch will show after a certain period. According to the question, the watch gains 3 minutes every 30 minutes. After showing the correct time at 5 am, we need to find out what time it will display after 6 hours. To solve this, consider that in 6 hours, there are 12 periods of 30 minutes each. Since it gains 3 minutes in each of these periods, it will gain a total of 36 minutes by the end of 6 hours. Therefore, the correct time would be 11 am, but the watch will show an additional 36 minutes, making it 11:36 am.

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