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 ?
the clock will show 3:12.0833 pm
To solve this problem, we need to calculate the actual time that has passed based on the rate at which the clock gains time.
First, we need to determine how much time the clock gains in 1 hour. Since the clock gains 10 minutes in 24 hours, it gains (10/24) minutes per hour.
Now, let's calculate the time difference between 10 AM (starting time) and 3 PM (ending time) the following day, which is 29 hours.
To determine the actual time that has passed, we multiply the time difference by the rate at which the clock gains time: 29 hours * (10/24) minutes/hour.
Converting hours to minutes:
29 hours * 60 minutes/hour = 1740 minutes
Now, calculating the time gained by the clock:
1740 minutes * (10/24) minutes = 725 minutes
Finally, we add the gained time to the starting time of 10 AM:
10 AM + 725 minutes = 11:05 AM
Therefore, the true time when the clock indicates 3 PM the following day is 11:05 AM.