How many times a day a clock’s hands overlap?

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how many times in a day minute hand and hour hand overlap?

Comments

  1. UnknownDecember 13, 2010 at 12:56 AM

    23 times

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  2. AdminDecember 13, 2010 at 12:28 PM

    @Dave 22 times a day if you only count the minute and hour hands overlapping.
    if you have any explanation for your answer please do comment.

    ReplyDelete
  3. AnonymousDecember 18, 2010 at 12:28 AM

    should be 24 times of the minute n hour hands !

    ReplyDelete
  4. AdminDecember 18, 2010 at 12:44 AM

    @anonymous can you please explain..

    ReplyDelete
  5. AnandJanuary 16, 2011 at 4:03 AM

    If you start from 1 to 12 hours a day it overlaps 12 times and similarly for another 12 hours which makes it 24

    ReplyDelete
  6. AdminJanuary 16, 2011 at 11:35 AM

    @ Overlapping will occur when Lm = Lh +N, which means every N*(12/11) hours (for N = 0,1,2,3...). In other words, it will happen approximately every 1hr5mins27secs, starting at 00:00. In 24hours, this occurs a total of 24/(12/11) = 22..

    do give your explanations..

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  7. AnonymousApril 15, 2011 at 3:59 PM

    The hour and the minutes clock coincide every 1 hr 5 min as u said but i think it happens 24 times as shown below:

    OO:00, 01:05, 02:10, 03:15, 04:20, 05:25, 06:30, 07:35, 08:40, 09:45, 10:50, 11:55, 12:00, 13:05, 14:10, 15:15, 16:20, 17:25, 18:30, 19:35, 20:40, 21:45, 22:50, 23:55..this adds up to 24 times..will you please explain which cases your algorithm leaves from above.

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  8. AdminApril 16, 2011 at 12:02 PM

    @above here are overlapping times :
    am
    12:00
    1:05
    2:11
    3:16
    4:22
    5:27
    6:33
    7:38
    8:44
    9:49
    10:55

    pm
    12:00
    1:05
    2:11
    3:16
    4:22
    5:27
    6:33
    7:38
    8:44
    9:49
    10:55

    ReplyDelete

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