A clock is set right at 8:00 am. The clock gains 10 min in 24 hrs. What will be the true time when the clock indicates 1 pm on the following day?
Question
A clock is set right at 8:00 am. The clock gains 10 min in 24 hrs. What will be the true time when the clock indicates 1 pm on the following day?
Solution
Step 1: Determine the time from 8:00 am to 1:00 pm the following day. This is 29 hours.
Step 2: The clock gains 10 minutes every 24 hours. So, in 1 hour, the clock gains 10/24 minutes.
Step 3: In 29 hours, the clock will gain (10/24)*29 minutes = 12.08 minutes, which is approximately 12 minutes.
Step 4: Therefore, when the clock indicates 1:00 pm the following day, the true time will be 12 minutes less than this.
Step 5: So, the true time will be 12:48 pm.
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