Clock Needles Overlapping

I have a clock(12-hour format) and both the needles of the clock overlap at 12:00.
After how much time, they will overlap again?




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0
=========
B.Sc
LLB

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No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki