The hand's of a clock are aligned with each other at 12 o'clock. At what time precisely are they next aligned?
I think it must be 1 o:clock
To be pedantic, they are always aligned. How they are aligned just varies
5 past one
12 o'clock
That's my version anyway.
im with pete... unless its a trick question.
13:05 n 5 secs
it also depends on whether the clock is actually working or not! if it aint going, the hands are always aligned!
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...
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]
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
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.
Hi
Is it 1:06:06?
Adrian
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]
Hi
has the clock in question got a seconds hand?
Adrian
Alan,how can the hands align with a never ending outcome as 27.27272727 sec.?
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.
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?
im with alan then...
I don't care, but then again when do I ever...
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.
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.
How can a never ending number be specific?
By 2,272 you are to early by 2.273 you're to late.
Anything in between will do you mean?
quote:
Originally posted by Cita
How can a never ending number be specific?
Can somebody translate 2.2727..... into a fraction for me please?
i normally would, but my calcualtor is broken
[Edited on 30/5/2004 by I love speed :-P]
Sorry,2.2727... is a fraction,i meant can somebody turn this figure into something like 1/3-2/5 or something?
well .2727272727272 is 3/11
Thanks!!!!!!
Anyone got a spanner with 3/11 on it?
Well done Alan B!!!
The answer is five minutes and 27.27r seconds past one
In a 12 hour period the hour hand aligns with the minute hand 11 times. So the interval is 12 hours divided by 11.
Fancy another?
[Edited on 30-5-04 by Hellfire]
If I had a brain that could be teased, it would be an advantage
Same goes for me Mark,only...i mean it!!!!
Congrat. Alan!!!!!!!!
The only teasing that I like is trying to tease my brain out of it's hybernation state!
quote:
Originally posted by Cita
Sorry,2.2727... is a fraction,i meant can somebody turn this figure into something like 1/3-2/5 or something?
Thanks Alez!!