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The next time they are together is 1:05 with zero seconds. It is the exact time of alignment to the second with the second hand being unimportant in alignment so it will be on 12, according to the question.

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Q: To the nearest second what is the first time after 1200 that the hour hand and the minute hand of a clock are together?
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Related questions

Which has more momentum a second hand on a clock or a minute hand on a clock?

the second hand


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