High School

A clock is set to show the correct time at 11 AM. It gains 12 minutes in 24 hours. What time will it show at 1 PM on the 6th day?

A. 10 AM
B. 11 AM
C. 12 Noon
D. None of these

Answer :

Final answer:

The clock will show 1 pm on the 6th day.

Explanation:

The clock gains 12 minutes in 24 hours, which means that for every 24 hours the clock goes ahead by 12 minutes. To find out what time it will be at 1 pm on the 6th day, we need to calculate how many minutes have passed from 11 am to 1 pm on the 6th day.

From 11 am to 1 pm is 2 hours, which is equal to 120 minutes. Since the clock gains 12 minutes every 24 hours, in 6 days it will gain 12 minutes * 6 = 72 minutes.

So, the total number of minutes that the clock gains from 11 am to 1 pm on the 6th day is 120 minutes + 72 minutes = 192 minutes. Adding 192 minutes to 11 am gives us the new time, which is 192 minutes after 11 am.

Therefore, the time at 1 pm on the 6th day is 11 am + 192 minutes = 1 pm.