Question

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

• A. 48 min. past 12
• B. 46 min. past 12
• C. 45 min. past 12
• D. 47 min. past 12
• E.

Hint:

To calculate the true time, subtract the gained time from the indicated time based on the rate of clock gain per hour.

Answer 1

The Correct Option is A

The clock gains 10 minutes every 24 hours. Therefore, over a 24-hour period, the clock advances by an additional 10 minutes. Step 1: Calculate the total time span. The duration from 8 a.m. on the first day to 1 p.m. the next day is: \[ 29 \text{ hours}. \] Step 2: Determine the total time gained by the clock. \[ \frac{10}{24} \times 29 = 12.08 \text{ minutes}. \] Step 3: Calculate the actual time. When the clock displays 1:00 p.m. (or 13:00), the actual time will be: \[ 13:00 - 12.08 \text{ minutes} = 12:47 \text{ p.m.}. \] Rounding slightly, the estimated actual time is 12:48 p.m..