Clock-related Problems

There are 12 dial units in the clock. Every time the minute hand completes 12 dials, the hour hand moves 1 dial. Thus, if the minute hand moves by x the hour hand moves by x/12.
 

000-clock-problem-illustration.gif

 

Key equations:

$x$ = distance traveled by the minute hand (in minutes)

$\dfrac{x}{12}$ = distance traveled by the hour hand (in minutes)