What time is it?
"What time is it, Rory?" asked Cory one lazy day.
"When I checked my watch this morning, the hour hand was where the minute hand is now, and the minute hand was one minute before where the hour hand now sits. I notice both hands are now at exact minute divisions."
What is the time now? When did Rory check this morning?
If the hour hand now is at an exact minute division, then the minutes now must be one of 0,12,24,36,48 (since a minute division on the hour hand equals 12 minutes of time)
So the hour hand this morning must also have been at 0,12,24,36 or 48
Which means that possible times this morning are:
0:00
2:24
2:48
7:12
9:36
If the hour hand now is one minute division after the minute hand, then the hour hand now must be on 1,13,25,37, or 49
So possible times now are:
1:12
2:36
5:00
7:24
9:48
The only one of those that matches is:
Now: 2:36
This morning: 7:12