If a rooster laid an egg on the top of a 10/12 pitch roof facing north, and an easterly wind of twenty mph was blowing, which side of the roof would the egg roll down?
Wow … leave it to Zoot to livin things up … 
Arminius obviously meant “the angles from 12 to the hour hand and 12 to the minute hand are identical when it stopped”.
The answer:
[tab]Dubiously assuming that I did the tiny bit of math right:
Time on Clock = 10:9:13.8461538461538[/tab]
But you have to figure out how to find it.
You have to read precisely. Your example here is not my example.You example does not work because of the logic/mathematics and technique of all watches, as I already said.
Again:
Oh, it’s one of those problems. An exercise in Zeno’s paradox. Infinite decimals and shit. Is it almost 10:10, almost almost 10:10, or almost almost almost 10:10? Holy moly, you can keep dividing the spaces between the minutes like… infinitely!
And I thought this was going to be something good.
Zeno or no, it is simple algebra/geometry.
That is obviously your job. You need to do it. Perhaps you will have the effect of learning by doing.
Nevertheless:
Nuh-uh, because at a smaller level, the noise that composes the sub-atomic particles that compose the atoms that compose the molecules that compose the elements that compose the material that the hands are made of are still moving.
I told you it was a trick.
Your premise did not specify an angle between a clock arm and 12. That’s what I mean by “you need another line”.
You have not understood it.
Show me the way of the solution, loudmouth. You have not understood it. This shows me your reaction. Again: Show me the solution process of the task. As I said: it is geometry, algebra, thus mathematics, and it is reading precisely, understanding the text, the logic and common sense in it, thus it is also linguistics. But the core of the task is mathematics. And you have not understood it.
This thread is about mathematics! What do you expect? Wonders? Miracles? “Something good”?
It was no trick.
No. If you meant it, then you would have said it. In addition: another line is not needed.
One has to figure out that the 12 is this “line” you are talking about. That is common sense but has nothing to do with the mathematical task. The text of my post was clear. It is your problem, if you are not capable of imagine a line.
You have excuses. I know. Show me the solution process and explain it.
The first sentence: “Your watch has stopped.”. The second sentence: “So it does not work anymore.”. So the follwoing sentences refer to theses first two sentences. Of course!
There is no text that begins with the last sentence and ends with the first sentence.
No problem.
I can imagine to make up for your poor problem constraint definition, but I can also get two exact angles by drawing a line to 6, getting a different answer whilw still being correct.
Bologna. Either it’s a trick, or it comes down to the impossibility of stopping the division of infinite decimals/fractions between minutes.
This is not an interesting problem. It is an age old paradox that baffled philosophers who had nothing better to do than be baffled.
James and/or Phoneutria. I demand that you solve the problem and answer the question immediately to prevent Arminius from pwning me.
That is irrelevant (see below). The said text with the task clearly says which angles are meant. Additionally I gave you this:
Mathematically it is absolutely irrelevant what Phoneutria said, namely that there is also a line to 6. You just need the information that the angles have the same degree in order to solve the problem mathematically. But which line you prefer is absolutely irrelvant for the mathematical solution.
Why are you not capable of solving the problem? You have not understood it.
[tab]H = Hours. M = Minutes.
H/12 x 360 + M/60 x 360/12 = 30 H + 0.5 M.
Position of the big hand: M/60 x 360 = 6 M.
Position of the little hand: H/12 x 360 + M/60 x 360/12 = 30 H + 0.5 M.
The sum of both angles is 360°.
So: 30 H + 0.5 M + 6 M = 360.
For H = 10:
300 + 6.5 M = 360 => M = 60/6.5 = 9.231 minutes.
Thus: 9 minutes, 13.8 seconds.
Time on watch: 9 minutes and 13.8 seconds past 10.[/tab]
Zoot Allures, what is “pwning”?
I can answer but I am not going to bother with calculating it because solving problems is fun, doing math isn’t. I’ll just hint at how to start solving it, as usual.
[tab]This is more akin to the hare and the turtle paradox, zoot, because both arms are constantly moving. By the time you reach 10 minutes, the hour clock has moved forward whatever much an hour arm moves in 10 minutes, making that not an exact angle, so one would have to calculate how many degrees of an angle per minute each of the arms move, (the hour arm moves 360 degrees in 12 hours and the minutes arm moves 360 in 1 hour), or something… I’d do the rest later. I’m tired.[/tab]
Yes, arminius, after you put your imaginary like there, your premise was complete. Also very cute with my lil spider there.
You do not have to do anything of that, because the solution and the solution process are already given.
[tab]H = Hours. M = Minutes.
H/12 x 360 + M/60 x 360/12 = 30 H + 0.5 M.
Position of the big hand: M/60 x 360 = 6 M.
Position of the little hand: H/12 x 360 + M/60 x 360/12 = 30 H + 0.5 M.
The sum of both angles is 360°.
So: 30 H + 0.5 M + 6 M = 360.
For H = 10:
300 + 6.5 M = 360 => M = 60/6.5 = 9.231 minutes.
Thus: 9 minutes, 13.8 seconds.
Time on watch: 9 minutes and 13.8 seconds past 10.[/tab]