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Math Help - Clocks - Time

  1. #1
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    Cool Clocks - Time

    Clock A,B and Cstrikes every hour. B slows down and take 2 minutes longer than A per hour while C becomes faster and takes a minute less than A per hour. If they strike together at 12 midnight, when will they strike together again...?

    ans: 11 am
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  2. #2
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    Hello, MathLearner!

    Clocks A, B\text{ and }C strike every hour.
    B slows down and take 2 minutes longer than A per hour
    while C becomes faster and takes a minute less than A per hour.
    If they strike together at 12 midnight, when will they strike together again?

    Answer: 11 am . . . . I don't agree!
    Clock A strikes every 60 minutes.
    Clock B strikes every 62 minutes.
    Clock C strikes every 59 minutes.

    The LCM of 60, 62, and 59 is: .109,740

    109,\!740\text{ minutes} \:=\:1829\text{ hours} \:=\:76\text{ days, }{\color{blue}5\text{ hours}}


    \text{They will strike together at }{\color{red}5\text{ am}}\text{ (of the 77th day).}

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  3. #3
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    I am not sure about this... In the paper i was solving, the right option given was for 11 am.. there was no option as 5 am...
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