Question

A 24-hour digital clock shows the correct time at noon on Janurary 1. If the clock loses 15 minutes per day,after how many days will the clock show the correct time?

Answer 1

24 days.

Explanation:

Since the clock loses 15 minutes per day, it will show the correct time after gaining back 24 hours, equivalent to 1 day.

Therefore, the clock will show the correct time for the first time after 24 days, which is calculated as follows:

One day to gain back the first 15 minutes

One day to gain back the second 15 minutes

...

One day to gain back the 24th 15 minutes

So the answer is 24 days.