khunsanuk Posted June 2, 2011 Author Report Share Posted June 2, 2011 Hi, They line up just a bit after those times cavanami mentioned. Not 100% certain, but I think you 'lose' one line-up every 12 hours, so they'd line up 22 times a day. Sanuk! Link to comment Share on other sites More sharing options...
cavanami Posted June 2, 2011 Report Share Posted June 2, 2011 In 12 hours: 12:00, 1:05, 2:10, 3:16, 4:21, 5:26, 6:32, 7:37, 8:42, 9:48 and 10:54 Link to comment Share on other sites More sharing options...
TheCorinthian Posted June 2, 2011 Report Share Posted June 2, 2011 In 12 hours: 12:00, 1:05, 2:10, 3:16, 4:21, 5:26, 6:32, 7:37, 8:42, 9:48 and 10:54 As said previously.... Nope. Think about it. I'll bust up the answer tomorrow my time. Link to comment Share on other sites More sharing options...
khunsanuk Posted June 2, 2011 Author Report Share Posted June 2, 2011 Hi, That is a slightly different sequence than the first he posted, and I do think that one (like my number of 22 times / day, 11 times in 12 hours) is correct. Sanuk! Link to comment Share on other sites More sharing options...
expat Posted June 2, 2011 Report Share Posted June 2, 2011 Hi, That is a slightly different sequence than the first he posted, and I do think that one (like my number of 22 times / day, 11 times in 12 hours) is correct. Sanuk! Now, what are the exact times? Ok, I'll make it easy(er); what are the times to the closest second? It's actually fairly easy if you look at it the right way. Link to comment Share on other sites More sharing options...
cavanami Posted June 2, 2011 Report Share Posted June 2, 2011 These should be correct: 12:00, 1:05, 2:10, 3:16, 4:21, 5:26, 6:32, 7:37, 8:42, 9:48 and 10:54 12:00, line up exact. 1:05, 05 because 5/60= .083 .083 X 5 = .417, so round off to 1:05 2:10, 10/60 = .167 .167 X 5 = .833...and so on. Because this is an analog clock, the hour hand moves along as the minutes progress. The hour hand does not jump from on the 9 to the 10 at (after) 09:59 but is a geared/linear progression from one hour to the next. ...too lazy to crunch the exact times to the seconds, so my answer is "GE"...Good Enough Link to comment Share on other sites More sharing options...
khunsanuk Posted June 2, 2011 Author Report Share Posted June 2, 2011 Hi, "Now, what are the exact times?" Guess you'll need to use the amount of degrees each hand travels, but too lazy to work it out Sanuk! Link to comment Share on other sites More sharing options...
expat Posted June 2, 2011 Report Share Posted June 2, 2011 Cavamani, you're close at the minute scale but got a couple wrong methinks. You can get the exact times, to the second, fairly easily if you just think of it the right way. You can also get it the hard way using infinite series, which is more fun (and the way I did it originally before I realized the easy way). Link to comment Share on other sites More sharing options...
TroyinEwa/Perv Posted June 2, 2011 Report Share Posted June 2, 2011 24 times. Link to comment Share on other sites More sharing options...
liquidflux Posted June 2, 2011 Report Share Posted June 2, 2011 You can get the exact time based on the angle each hand makes with 12 o'clock. Minute hand does 360 degrees in 60 minutes = 6 degrees a minute, 1/10 degrees a second. Hour hand does 360 degrees in 12 hours = 0.5 degrees a minute, 1/120 degrees a second. If you count midnight as the start, they should overlap 23 times in 24 hours. Link to comment Share on other sites More sharing options...
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