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Old July 7 2009, 07:26 PM   #1
Jadzia
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Tuesday Night Quiz!

Brian the engineer disassembles an old Warcom press brake, and begins playing with the gears he finds inside it.

He has 3 cogs: A, B, and C. All of which have at least 8 teeth, and no cog has more than 40 teeth.

Cog B is the biggest and has the same number of teeth as cogs A and C added together.

Brian arranges the cogs as shown below. A red dot is drawn at the top of each of the cogs, and cog A has a crank handle attached to it, also shown in the diagram.




As the crank handle is turned, Brian notices the dots rotate out of their positions at different speeds.

He continues to turn the crank handle in the same direction until all three of the dots simultaneously appear back in the positions they started in, and then stops turning.

Brian reports that during the turning, cog C made 45 revolutions more than cog A.

How many teeth do each of the cogs have?

Answers via PM.
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Old July 7 2009, 11:32 PM   #2
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Re: Tuesday Night Quiz!

It doesn't involve cake or pizza, I haven't got a hope!
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Old July 8 2009, 12:34 AM   #3
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Re: Tuesday Night Quiz!



I don't even know where to start.
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Old July 8 2009, 12:38 AM   #4
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Re: Tuesday Night Quiz!

I haven't started yet, but I think I know where this puzzle is going...

When's the closing date, Jadzia? I think I'll get working on it tomorrow.
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Old July 8 2009, 12:41 AM   #5
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Re: Tuesday Night Quiz!

Yay! A Saturday night quiz on Tuesday!
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Old July 8 2009, 12:52 AM   #6
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Re: Tuesday Night Quiz!

When's the closing date, Jadzia? I think I'll get working on it tomorrow.
Closing date is probably thursday night or friday morning, uk time.
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Old July 8 2009, 12:54 AM   #7
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Re: Tuesday Night Quiz!

back
Jadzia wrote: View Post
When's the closing date, Jadzia? I think I'll get working on it tomorrow.
Closing date is probably thursday night or friday morning, uk time.
I'd better get my thinking cap on, then.

I'm guessing that when Brian () turns the first cog, at no time during the turning are the dots back in their original alignment until he stops at the end. That makes it more interesting...
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Last edited by Zion Ravescene; July 8 2009 at 01:34 AM.
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Old July 8 2009, 09:48 AM   #8
Jadzia
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Re: Tuesday Night Quiz!

Zion Ravescene wrote: View Post
I'm guessing that when Brian () turns the first cog, at no time during the turning are the dots back in their original alignment until he stops at the end. That makes it more interesting...
Yes, that is implied in the wording of the question. Otherwise there would be many solutions, like various multiples of 2:3:1.



And Zyon offers the first correct answer.
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Old July 8 2009, 10:01 AM   #9
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Re: Tuesday Night Quiz!

Jadzia wrote: View Post
And Zyon offers the first correct answer.


btw, can we reboot you as Jadzya?
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Old July 8 2009, 10:09 AM   #10
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Re: Tuesday Night Quiz!

Math is evil and needs to be nuked from orbit. It's the only way to be sure.
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Old July 8 2009, 10:11 AM   #11
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Re: Tuesday Night Quiz!

My two random guesses were wrong. There's no way I can possibly figure this out.
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Old July 8 2009, 03:26 PM   #12
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Re: Tuesday Night Quiz!

ShamelessMcBundy wrote: View Post
Math is evil and needs to be nuked from orbit. It's the only way to be sure.
If you can work out the correct trajectory, angle of fire, force of thrust required, and probability of success... then go for it.
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Old July 8 2009, 05:35 PM   #13
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Re: Tuesday Night Quiz!

What is this spin-off bullshit!
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Old July 8 2009, 06:22 PM   #14
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Re: Tuesday Night Quiz!

Zion Ravescene wrote: View Post
ShamelessMcBundy wrote: View Post
Math is evil and needs to be nuked from orbit. It's the only way to be sure.
If you can work out the correct trajectory, angle of fire, force of thrust required, and probability of success... then go for it.
Can't i just randomly lob some nukes and see what happens?
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Old July 8 2009, 06:32 PM   #15
Jadzia
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Re: Tuesday Night Quiz!

NickInABox wrote: View Post
What is this spin-off bullshit!
I thought it would make a nice change to counting the vowels in a set of place names

Is nobody but Zion and RJ going to make a guess??
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