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Clock Angles

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At midnight the minute hand of the clock lies directly over the hour hand. At what time does this next occur? Give your answer correct to the nearest second.

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This posting contains the solution for the given clock angles problem.

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Remember that the minute hand moved faster than the hour hand, right?

Since the minute hand will rotate a full 360 to catch up at the hour hand again, it will have a greater than 360 degrees lead to the hour hand.

If we want to have the angular movement of the hour hand and the minute hand be equal, we must ...

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