Clock time puzzle

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The hour and minute hands are at equal distance from the 6 hour, what time will it be exactly?
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There are 12 answers to this puzzle.  For every hour, there is a position of the minute hand such that the hour and minute hands are equal distance from the 6.

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on 9th November 2015.

There are more than 12 answers to the puzzles, please specify the same in answer. 🙂

Think about it, even more than 20 answers are possible 🙂

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on 10th November 2015.
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  • 1 Answer(s)
    Best answer

    ANSWER- 6h27m41.5s

    EXPLANATION-
    You need to solve (n+(180θ)/360)×30=θ, where n is the number of hours past 6 o’clock. The solution is
    θ=18013(2n+1)deg

    For different values of θ you would get different times.
    For example, for n=6 you get θ=180 which is 12 o’clock.
    For n=0 you get θ=180/13=13.8, which, using 30 degree=5 min, is  6h27m41.5s

    SherlockHolmes Expert Answered on 9th November 2015.
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