Question

An analog clock loses 2 minutes every 3 hours. What is the shortest interval of time after which the clock will show the correct time?

Answer 1

Let's say the time starts at 12:00
3:00 - 2:48
6:00 - 5:46
9:00 - 8:44
12:00 - 11:42
3:00 - 2:40
6:00 - 5:38
9:00 - 8:36
12:00 - 11:34
--------------------

3:00 - 2:32
6:00 - 5:30
9:00 - 8:28
12:00 - 11:26
3:00 - 2:24
6:00 - 5:22
9:00 - 8:20
12:00 - 11:18
--------------------

3:00 - 2:16
6:00 - 5:14
9:00 - 8:12
12:00 - 11:10
3:00 - 2:08
6:00 - 5:06
9:00 - 8:04
12:00 - 11:02
--------------------
3:00 - 3:00

So, after 3 days and 1 hour, the time will shows the correct time again.