Is this a Geometric Series?

Algebra Level 3

The hands are together at noon.
The minute hand sweeps around the clock.
By the time the minute hand returns to the 12 o'clock position,
The hour hand has moved to 1 o'clock.
By the time the minute hand advances to the one o'clock position,
The hour hand isn't there anymore.
It has moved just a little, teensy bit...

How long does it take for the two hands on an analogue clock to come together again ?

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