Comments on: A Puzzle http://adamfield.net/blog/2007/08/04/a-puzzle/ Life in the family lane Thu, 20 Nov 2008 21:39:40 +0000 http://wordpress.org/?v=2.2.1 By: daeguowl http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-15 daeguowl Thu, 06 Sep 2007 14:15:54 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-15 Do I get a prize>? Do I get a prize>?

]]> By: LostRambler http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-14 LostRambler Thu, 06 Sep 2007 06:16:24 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-14 Cool, you got the right answer, to the nearest second (as opposed to the answer that's nearest to a whole second). Cool, you got the right answer, to the nearest second (as opposed to the answer that’s nearest to a whole second).

]]> By: daeguowl http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-13 daeguowl Tue, 04 Sep 2007 16:31:21 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-13 Then it comes about 1:06'27" (can't remember exactly....). As you said to the nearest second, the 40'clock one is where, to the nearest whole second, the hands are closet to each other. The overlapping at 1:06 has the being directly in the position half way through a second, and further apart at the start and end of that second, than at 4o'clock... Then it comes about 1:06′27″ (can’t remember exactly….). As you said to the nearest second, the 40′clock one is where, to the nearest whole second, the hands are closet to each other. The overlapping at 1:06 has the being directly in the position half way through a second, and further apart at the start and end of that second, than at 4o’clock…

]]> By: LostRambler http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-11 LostRambler Sun, 02 Sep 2007 09:34:22 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-11 <p>Given that at 3:10 the minute hand is above the hour hand and at 3:20 it's below, there must be some time when they overlap between 3:10 and 3:20. This time occurs before 4:21, so your answer is at least one hour out.</p> <p>And we're talking about a mathematical overlap, one that is only true for an infinitessimally small period of time. We're talking about a purely theoretical clock too, one on which the hands move smoothly and at a constant rate.</p> Given that at 3:10 the minute hand is above the hour hand and at 3:20 it’s below, there must be some time when they overlap between 3:10 and 3:20. This time occurs before 4:21, so your answer is at least one hour out.

And we’re talking about a mathematical overlap, one that is only true for an infinitessimally small period of time. We’re talking about a purely theoretical clock too, one on which the hands move smoothly and at a constant rate.

]]> By: daeguowl http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-10 daeguowl Sun, 02 Sep 2007 08:06:14 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-10 Depends how many decimal places you want to go to....12 hours will have to elapse for it to be an exact overlapping (provided your watch is accurate). However, after one second, the hour hand will have moved 0.0083333 of a degree and the minute hand will have moved 0.01 of a degree whidh to the naked eye will be unnoticeable....at 4:21:49 and 7:38:11 the hands will overlap with a difference of 0.008333333 degrees which is the closest they'll be during the twelve hour period. Depends how many decimal places you want to go to….12 hours will have to elapse for it to be an exact overlapping (provided your watch is accurate). However, after one second, the hour hand will have moved 0.0083333 of a degree and the minute hand will have moved 0.01 of a degree whidh to the naked eye will be unnoticeable….at 4:21:49 and 7:38:11 the hands will overlap with a difference of 0.008333333 degrees which is the closest they’ll be during the twelve hour period.

]]> By: daeguowl http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-9 daeguowl Fri, 31 Aug 2007 14:01:23 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-9 Do you have the readers to justify that comment? Email me... Do you have the readers to justify that comment? Email me…

]]> By: LostRambler http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-7 LostRambler Thu, 30 Aug 2007 14:47:37 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-7 What, and spoil it for everyone else? What, and spoil it for everyone else?

]]> By: daeguowl http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-4 daeguowl Thu, 30 Aug 2007 13:49:46 +0000 http://adamfield.net/blog/2007/08/04/a-puzzle/#comment-4 So what's the solution then? So what’s the solution then?

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