ABSTRACT
What is the first time after 12 o’clock noon at which the hour and minute hands on a clock meet?
Our first realization is that the meeting will happen at a time that is a little after 1 o’clock.
inking about the problem algebraically, we figure it would best be solved by coming up with equations in terms of time for the positions of the hour and minute hands, and setting those equations equal to figure out at what precise time those positions are equal. Since we are dealing with a circular path, namely the clock, it would be best to think of the positions in terms of degrees.
