Clock Needles Overlapping

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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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    The hands will overlap every 360/5.5 minutes =(65.4545… = 1hr 5min +27.27 sec) so on 1:05, 2:10, 3:16,  4:21, 5:27, 6:32, 7:38,  8:43, 9:49,  10:54

    Moshe Expert Answered on 25th December 2022.
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