clocks are courtesy of Dan Budne
To use the clock above, you can enter time as hours, minutes, or seconds.
You can use numbers in the form of integers, decimals, or fractions.

On the First Day, I familiarized myself with the basic relations on the clock:

The minute hand moves 12 times as fast as the hour hand. (Thus, the hour hand moves one 'notch' when the minute hand moves 12 of them);

The angle between two successive numbers is 30 degrees (this is 1/12 of 360); and thus each minute is 6 degrees of arc.
I also found approximations for certain values, thus familiarizing myself with the problem it presented:
Example: Estimate where the hands coincide after 4:00.
Solution: It cannot be as late as 4:24, for then the minute hand is beyond the hour hand (the hour hand has moved exactly two notches.) So the time must be a bit less than 4:22.
Problem for the Reader: Estimate the time where the hands coincide after 9:00.
(Answer: Just a bit after 9:49)