A clock is set right at 10 AM. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 3 PM the following day?
so for each hour on the clock, it is really 2.4 minutes ahead of real time.
So at 3PM clock time, it is showing 29hours*2.4min/hr= 69.6 min ahead, true time then is 2PM-9.6min=1:50:24
check my thinking
To find the true time when the clock indicates 3 PM the following day, we need to account for the fact that the clock gains 10 minutes in 24 hours.
First, let's calculate the amount of time the clock gains per hour:
10 minutes per 24 hours = 10/24 minutes per hour
Next, we need to determine the time difference between 10 AM and 3 PM the following day. This is a span of 29 hours, as there are 24 hours from 10 AM to 10 AM the next day, and an additional 5 hours from 10 AM to 3 PM.
Now, we can calculate the total extra minutes gained by the clock in 29 hours:
Total extra minutes = (10/24 minutes per hour) x 29 hours
Finally, we add the extra minutes to 3 PM to find the true time:
True time = 3 PM + total extra minutes
Let's calculate the result:
Total extra minutes = (10/24) x 29 = 12.08 minutes (rounded to the nearest minute)
True time = 3 PM + 12 minutes = 3:12 PM
Therefore, the true time when the clock indicates 3 PM the following day is 3:12 PM.