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# Degrees of Time

How many degrees are between the hour and minute hand on a clock if the time is 3:40?

### Hint

Try sketching it out on paper.### Answer

130 DegreesThe easiest way to solve this is to think that the clock is a circle and that there are 360 degrees in a circle. Draw a clock and set the hands at 3:40. From the 3 to the 8 equals 150 degrees; which might have been your answer if you didn't account for the movement of the hour hand. Since the minute hand is at the eight, it has moved 2/3 around the clock. Therefore, the hour hand has moved 2/3 the distance in between the 3 and the 4. Since there are 30 degrees in between each number, this means that the hour hand has moved 20 degrees towards the 4, or 150 degrees - 20 degrees = 130 degrees.

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