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How many times per day does the hands on a clock overlap? (assuming the clock is not digital)

(Answer)

  1. jeff posted the following on 16Nov2007 at 6:22 pm.

    the astonishing answer: monsoon! that is all

  2. UT Hooligan posted the following on 17Nov2007 at 2:27 am.

    Bravo that man.

  3. Ginger posted the following on 17Nov2007 at 11:51 am.

    I’ve heard it’s not nice to ASSuME anything, so I will not participate in your drivel…

  4. UT Hooligan posted the following on 18Nov2007 at 4:08 pm.

  5. mob posted the following on 19Nov2007 at 2:36 pm.

    I have one answer… it is not THE answer but it is my answer:

    None. The clock is broken.

  6. mob mom posted the following on 19Nov2007 at 10:19 pm.

    once each hour…thus 24 times

  7. mob posted the following on 19Nov2007 at 11:08 pm.

    close…

  8. Ginger posted the following on 20Nov2007 at 11:38 am.

    23

  9. d3zin3 posted the following on 20Nov2007 at 4:27 pm.

    23

  10. mob posted the following on 20Nov2007 at 4:29 pm.

    Correct. If you count 00:00 (12:00am) as the first overlap, then by the end of the 24th hour the hands have overlapped 23 times. Upon the ‘24th’ overlap, its the start of the next day.

    Hence the winner is UT Hooligan and Mr. T.

  11. mob mom posted the following on 20Nov2007 at 11:35 pm.

    nope…I stand by my answer…it is 24 times in 24 hours

  12. mob posted the following on 21Nov2007 at 10:15 am.

    Not possible. How can you count the 24th time in the same day or 24 hour period? That means you would have at least 1441 minutes in your day. Normal days contain 1440 minutes.

    Your clock needs to be re-adjusted.

  13. UT Hooligan posted the following on 22Nov2007 at 3:36 pm.

    Never. My clock was made in China and therefore is read left to right, down up. In the afternoon we all go to bed.

  14. jeff posted the following on 23Nov2007 at 5:04 pm.

    and who is this imposter posting with my, MY name!?!?

  15. mob posted the following on 23Nov2007 at 10:14 pm.

    your mom

  16. mob posted the following on 23Nov2007 at 10:18 pm.

    The answer as explained by NPR:

    After 12 o’clock, the minute hand races ahead of the hour hand. By the time the minute hand has gone all the way round the clock and is back at 12, one hour later (i.e., at 1 o’clock), the hour hand has moved to indicate 1. Five minutes later, the minute hand reaches 1 and is almost on top of the hour hand, but not quite, since by then the hour hand has moved ahead a tiny amount more. So the next time after 12 that the minute hand is directly over the hour hand is a bit after 1:05. Similarly, the next time it happens is a bit after 2:10. Then a bit after 3:15, and so on. The eleventh time this happens, a bit after 11:55, has to be 12 o’clock again, since we know what the clock looks like at that time. So the two hands are superimposed exactly 12 times in each 12 hour period.

    To answer the second part of the puzzle, you have to figure out those little bits of timer you have to keep adding on. Well, after 12 o’clock there are eleven occasions when the two hands match up, and since the clock hands move at constant speeds, those 11 events are spread equally apart around the clock face, so they are 1/11th of an hour apart. That’s 5.454545 minutes apart, so the little bit you keep adding is in fact 0.454545 minutes. The precise times of the superpositions are, in hours, 1 1/11, 2 2/11, 3 3/11, all the way up to 11 11/11, which is 12 o’clock again.

  17. UT Hooligan posted the following on 24Nov2007 at 2:46 am.

    Someone needs to discover wine, women and song and spend less time on clocks.

  18. mob mom posted the following on 30Nov2007 at 12:16 pm.

    so…if it’s 12 times in each 12 hour period, then it’s 24 times in 24 hours! I stand by my original answer!

  19. mob posted the following on 30Nov2007 at 7:45 pm.

    That means you count midnight and noon twice each.
    after 12 o’clock there are eleven occasions when the two hands match up which is 23.

  20. Ginger posted the following on 01Dec2007 at 1:57 pm.

    Your mom.

  21. mob mom posted the following on 01Dec2007 at 3:48 pm.

    The answer as explained by NPR “So the two hands are superimposed exactly 12 times in each 12 hour period.” Who is NPR? I agree with them.

  22. mob posted the following on 01Dec2007 at 11:33 pm.

    I have made a visual guide - you cant count noon or midnight twice: Red = A.M. Green = P.M.

    clock hands riddle answer

    So does this help explain how the clocks hands overlap 23 times in a 24 hour period? And technically - if you were to say in a day (midnight til 11:59 - then the hands overlap only 22 times in a day)

  23. Doodee posted the following on 01Feb2008 at 8:25 pm.

    Thanks for sharing

  24. ss posted the following on 02Feb2008 at 10:58 pm.

    depends on your definition of ‘day’. does that mean the 24 siderial time, the variable time of ‘day’light vs. nighttime, unless of course the clock happens to be in the antartic this time of year, then your 24 siderial and variable time is equal. on the other hand (second, minute, or hour) you did not disqualify the atomic clock which is NOT a digital clock, nor did you deny the potential existence of an hourglass which has no hands at all, with the possible exception of those that turn it.
    All this preseumes you are on earth, not the moon, venus or any other planet with or without retrograde motion, nor on a vehicle traveling near or at the speed of light.
    Now for those so inclined, go figure out how many times the second hand does the same…..

  25. vin posted the following on 06Jun2008 at 8:50 am.

    now what if i throw in the seconds hand as well. will there be a way to find out how many times all three are overlap?

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