Hellfire
|
 posted on 29/5/04 at 03:00 PM |
|
|
Brain Teaser
The hand's of a clock are aligned with each other at 12 o'clock. At what time precisely are they next aligned?
|
|
|
|
|
PAUL FISHER
|
| posted on 29/5/04 at 03:14 PM |
|
|
I think it must be 1 o:clock
|
|
|
thebutler
|
| posted on 29/5/04 at 03:21 PM |
|
|
To be pedantic, they are always aligned. How they are aligned just varies
|
|
|
Cita
|
| posted on 29/5/04 at 03:28 PM |
|
|
5 past one
|
|
|
macspeedy
|
| posted on 29/5/04 at 03:45 PM |
|
|
12 o'clock
|
|
|
Peteff
|
| posted on 29/5/04 at 04:20 PM |
|
|
01:05:12
That's my version anyway.
yours, Pete
I went into the RSPCA office the other day. It was so small you could hardly swing a cat in there.
|
|
|
JoelP
|
| posted on 29/5/04 at 04:49 PM |
|
|
im with pete... unless its a trick question.
Beware! Bourettes is binfectious.
|
|
|
Hugh Paterson
|
| posted on 29/5/04 at 05:40 PM |
|
|
13:05 n 5 secs
|
|
|
JoelP
|
| posted on 29/5/04 at 06:19 PM |
|
|
it also depends on whether the clock is actually working or not! if it aint going, the hands are always aligned!
Beware! Bourettes is binfectious.
|
|
|
JoelP
|
| posted on 29/5/04 at 06:33 PM |
|
|
at 1pm, the hour hand is at 30 degrees and the minute hand is at 0 degrees. At five past, the minute is now at 30 degrees but the hour hand is now at
32.5 degrees. 15 seconds later, the minute hand is at 32.5 degrees but the hour hand has has crept on to 32.625 degrees. im guessing its about 18
seconds past 1.05pm.
obviously theres an equation to solve to give the precise answer, but its a tricky one. Anyone know it?! i dont yet...
Beware! Bourettes is binfectious.
|
|
|
JoelP
|
| posted on 29/5/04 at 06:40 PM |
|
|
y=mx+c
so y=60x+0
and y=x+30
so 60x=x+30
and x=30/59
which is 0.508 minutes past one.
seems to go wrong after there though. Whats up with it?
thats 4.8 seconds past 5 past 1.
[Edited on 29/5/04 by JoelP]
Beware! Bourettes is binfectious.
|
|
|
Hugh Paterson
|
| posted on 29/5/04 at 08:47 PM |
|
|
Smart arses
Ah but whats the terminal velocity of a long haired common or garden tom cat, that accidently gets lobbed out of a window on the 15th floor of a tower
block, and uses up all its 9 lives when it hits the pavement paws first of course
Shug
|
|
|
Hellfire
|
| posted on 29/5/04 at 08:59 PM |
|
|
Joep - you are oon the right track. However, there is a small error in your calculations you haven't allowed for the hour and minute fingers
moving on 'a bit'.
I do have the exact answer, and it isn't a trick question.
|
|
|
ady8077
|
| posted on 29/5/04 at 09:20 PM |
|
|
Hi
Is it 1:06:06?
Adrian
|
|
|
Alan B
|
| posted on 29/5/04 at 09:49 PM |
|
|
1 hour 5 minutes 27.272727 secs
If that's right I'll explain later......
If it's wrong someone else told me...
I mean next alignment is 5mins 27.272727 secs past 1 or 1.05.27.2727272
[Edited on 29/5/04 by Alan B]
|
|
|
ady8077
|
| posted on 29/5/04 at 10:24 PM |
|
|
Hi
has the clock in question got a seconds hand?
Adrian
|
|
|
Cita
|
| posted on 30/5/04 at 06:27 AM |
|
|
Alan,how can the hands align with a never ending outcome as 27.27272727 sec.?
|
|
|
JoelP
|
| posted on 30/5/04 at 07:51 AM |
|
|
1hr05mins5.084746secs past midday?
.5084746 is like a magic number, if you subtract .5 and times it by 60 the answer is nearly the same as the number you began with.
Beware! Bourettes is binfectious.
|
|
|
Alan B
|
| posted on 30/5/04 at 12:25 PM |
|
|
The answer really is quite easy.....(if I'm right...)
In a 12 hour period the minute hand passes/aligns with the hour hand 11 times......the hands are geared together so this interval is the same every
time
So the next alignment is 12.00 plus 12/11 hours...12/11 hours is 1 hour 5 mins 27.27r secs.
Am I right Hellfire?
|
|
|
JoelP
|
| posted on 30/5/04 at 04:31 PM |
|
|
im with alan then...
Beware! Bourettes is binfectious.
|
|
|
Metal Hippy
|
| posted on 30/5/04 at 04:39 PM |
|
|
I don't care, but then again when do I ever...
Cock off or cock on. You choose.
|
|
|
Cita
|
| posted on 30/5/04 at 07:32 PM |
|
|
1 hour is exactly 3600 seconds,not one thousend of a second more or less
5 minutes is exactly 300 seconds.
is 2.27 seconds exact? No because the hands will not align at 2.27 seconds but two thousands of a second later.Even this is not correct because
it's actually 7 thenthousands of a second later than 2.272 seconds and so and so on.
|
|
|
JoelP
|
| posted on 30/5/04 at 07:42 PM |
|
|
2.72727272727272727 is still a specific time, even if the numbers go on forever. By 2.73 seconds, you have missed it. hence it is entirely
plausible.
I actually agree with alan due to the simplicity of the workings, my attempts disagree but the complexity allows more errors to creep in, and i cant
find anything wrong with his reasoning or working, so it stands until disproven.
Beware! Bourettes is binfectious.
|
|
|
Cita
|
| posted on 30/5/04 at 08:11 PM |
|
|
How can a never ending number be specific?
|
|
|
Cita
|
| posted on 30/5/04 at 08:14 PM |
|
|
By 2,272 you are to early by 2.273 you're to late.
Anything in between will do you mean?
|
|
|
