### Brain Teasers

# Clocks

A clock has twelve hours in a rotation of the hour hand, sixty minutes in the rotation of the minute hand, and sixty seconds in a rotation of a second hand. Using the following things, starting at 0 hours and 0 seconds, how much time is passing in all these intervals?

5 rotations of the second hand

2/12 rotation of the hour hand

3/6 rotation of the minute hand

3/4 rotation of the minute hand

5 rotations of the second hand

2/12 rotation of the hour hand

3/6 rotation of the minute hand

3/4 rotation of the minute hand

### Answer

The answer is three hours and twenty minutes. Five rotations of the second hand is five minutes, because a full rotation of the second hand is a minute. 2/12 rotations of the hour hand is two hours. 3/6 rotations of the minute hand is 30 minutes because 3/6 is equal to 1/2. 3/4 rotations of the minute hand is 45 minutes.Hide Answer Show Answer

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