Part I: what is the angle between the minute hand and the hour hand at 3:15 on an analog clock? no, its not 0.

Part II: how often does the minute hand pass the hour hand on an analog clock?

### Solution

part I: 12 hours on the clock make 360 deg. so one hour is 30 deg. the hour hand will be directly on the 3 when the minute hand is at 12 (3:00). after 15 minutes or 1/4 of an hour, the hour hand will be 1/4 * 30 deg = 7.5 deg. away from the minute hand.