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Answer :
Final answer:
To calculate the time the clock will show at 1 pm on the 6th day after gaining 12 minutes each day, we determine the total gain (72 minutes) and add it to the original time, which results in the clock showing 2:12 pm. So, the correct option is C.
Explanation:
The question involves calculating the time a clock will show when it gains a certain amount of time each day. To find what time the clock will show at 1 pm on the 6th day after setting it correctly at 11 am, we need to calculate the total time gained over those days. Since the clock gains 12 minutes every 24 hours, we can establish the total gain over 6 days by multiplying the daily gain by the number of days:
- 12 minutes/day × 6 days = 72 minutes gained in total.
- Now, we need to convert the total gain into hours and minutes. There are 60 minutes in an hour, so:
- 72 minutes / 60 = 1 hour and 12 minutes.
- Add this time gain to the original set time to find the correct answer:
- 1 pm (original time) + 1 hr 12 minutes (time gained) = 2:12 pm on the 6th day.
Therefore, the correct option is: c) 12:12 pm.
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