Working with Clocks I have frequently seen problems like how many times between _ and _ will the minute and hour hand be together, or be 90 degrees apart.
So if someone can give me a complete solution to the following three parts I would be grateful!
a) How would we find the number of times the minute and hour hand are together from 12:00 a.m and 12:00 p.m?
b) How many times will the minute and hour hand be diametrically opposite?
c) How many times will the minute and hour hand be 90 degrees apart?

Hint: imagine placing the clock on a turntable that rotates very slowly, so that the hour hand doesn't move at all.
The clock itself rotates once counter-clockwise every 12 hours. The hour hand doesn't move at all. How many times around does the minute hand go every 12 hours?
