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-   -   Tuesday Night Quiz! (http://www.trekbbs.com/showthread.php?t=98261)

Jadzia July 7 2009 07:26 PM

Tuesday Night Quiz!
 
Brian the engineer disassembles an old Warcom press brake, and begins playing with the gears he finds inside it. :rolleyes:

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.

http://img386.imageshack.us/img386/5273/picture2d.png


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. :D

trampledamage July 7 2009 11:32 PM

Re: Tuesday Night Quiz!
 
It doesn't involve cake or pizza, I haven't got a hope!

RJDiogenes July 8 2009 12:34 AM

Re: Tuesday Night Quiz!
 
http://home.comcast.net/%7ERJDiogenes/loopy.gif

I don't even know where to start. :wah:

Zion Ravescene July 8 2009 12:38 AM

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.

Mutenroshi July 8 2009 12:41 AM

Re: Tuesday Night Quiz!
 
Yay! A Saturday night quiz on Tuesday!

Jadzia July 8 2009 12:52 AM

Re: Tuesday Night Quiz!
 
Quote:

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. :)

Zion Ravescene July 8 2009 12:54 AM

Re: Tuesday Night Quiz!
 
back
Quote:

Jadzia wrote: (Post 3164968)
Quote:

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. :p

I'm guessing that when Brian (:guffaw:) 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...

Jadzia July 8 2009 09:48 AM

Re: Tuesday Night Quiz!
 
Quote:

Zion Ravescene wrote: (Post 3164972)
I'm guessing that when Brian (:guffaw:) 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. :bolian:

Zion Ravescene July 8 2009 10:01 AM

Re: Tuesday Night Quiz!
 
Quote:

Jadzia wrote: (Post 3166160)
And Zyon offers the first correct answer. :bolian:

:hugegrin:

btw, can we reboot you as Jadzya? ;)

ShamelessMcBundy July 8 2009 10:09 AM

Re: Tuesday Night Quiz!
 
Math is evil and needs to be nuked from orbit. It's the only way to be sure.

RJDiogenes July 8 2009 10:11 AM

Re: Tuesday Night Quiz!
 
My two random guesses were wrong. There's no way I can possibly figure this out. http://home.comcast.net/%7ERJDiogenes/loopy.gif

Zion Ravescene July 8 2009 03:26 PM

Re: Tuesday Night Quiz!
 
Quote:

ShamelessMcBundy wrote: (Post 3166200)
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. :bolian:

NickInABox July 8 2009 05:35 PM

Re: Tuesday Night Quiz!
 
What is this spin-off bullshit!

ShamelessMcBundy July 8 2009 06:22 PM

Re: Tuesday Night Quiz!
 
Quote:

Zion Ravescene wrote: (Post 3166697)
Quote:

ShamelessMcBundy wrote: (Post 3166200)
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. :bolian:

Can't i just randomly lob some nukes and see what happens?

Jadzia July 8 2009 06:32 PM

Re: Tuesday Night Quiz!
 
Quote:

NickInABox wrote: (Post 3167051)
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?? :confused:


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