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.