In a logic puzzle analogous to frequency beating, an analog clock's minute and hour hands overlap exactly at 12:00. How much time passes until they overlap again?
The minute hand moves at 360 degrees/hour, and the hour hand moves at 30 degrees/hour. Their relative speed is 330 degrees/hour. To overlap again, the minute hand must gain a full 360 degrees on the hour hand. Time = Distance / Speed = 360 / 330 = 12/11 hours, which equals exactly 65 and 5/11 minutes.
