I made this one up on my own, but I'm sure someone has thought of it before...

The Perfect Clock puzzle: Imagine a perfect clock with infinitely thin hands. This clock is perfect in that the hour hand moves exactly 1/12th the speed of the minute hand, and the minute hand moves exactly 1/60th the speed of the second hand. We're talking way better than Rolex.

The puzzle: Between 12:01 am and 11:59 am, what are the exact times that the hour and minute hands will be perfectly aligned (parallel and overlapping)? Also, what are the exact times that all three hands will be perfectly aligned? (I purposely eliminated the obvious 12 noon/midnight.) Please answer to the sixth significant digit of the second hand. Example: 12:00:00.000000

Good luck.

(Answer will be posted later. If u think u have the right answer, please PM me first so as not to spoil it for others.)

EDIT: a hint... (posted below. if you don't want the hint, don't look)

 

there seems to be some confusion as to this puzzle.

basically you're looking for the times that 2 of the hands (hours & minutes) and all 3 hands (& seconds) are exactly over each other. 12:00:00 is one time of course. the next time to try to solve for is a little after 1:05... the next time, a bit after 2:10.... get it?

remember, answer to the 6th significant digit after the seconds, i.e.-- 12:00:00.000000

 

is nobody up to the challenge? (The Einstein puzzle is seems to be more popular)

that's The Fear, people. this is solvable-- it ain't too hard, but it ain't easy.


Magician? have u tried solving this yet?



TTT

 

i tryed solving for the first "meet" (1:05:...) and i couldn't ... it's not easy at all ```

 

a hint (if you don't want a hint, DON'T LOOK BELOW)












hint: first solve for the times when the hour and minute hands are exactly over each other... <-- sorry, it might not seem like much of a hint, but it is.

EDIT: I also edited my 2nd post to make it a bit clearer

 

lmao, it is The Fear.. and the fact that I have no idea what you're talking about, combined with my laziness at this particular moment..

 

take one of your watches and set the time to about 1:05 (a little after 1:05, actually). see where 2 hands are? move it back and forth until both hands are on top of each other. now, what exactly is that time? (u won't be able to tell from the watch what it is to the 6th significant digit after the decimal, but atleast this gives you an idea.)

 

 

credit where credit is due:

'smyroad has successfully solved this puzzle!!

 

Sorry, I just saw this; I was doing a show from 5:00 to 10:00 Sunday evening. You have a PM.