Clock Theory

Angle Between The Hands of a clock:

if "H" is the hours and "M" is the minutes, then angle can be directly formulated by
Angle = |30H-(11/2)M|.

Hands Of a Clock Overlap/Coincide
Counting from midnight at 12:00 (the first time of coincidence), the next time occurs when minute hand advance over hour hand by 360 degree, since minute hand advance 55 min in 60 min over hour hand , the eaquation that forms is
6t = .05t+360
or
5.5t= 360