Tuesday Night Quiz!

[Jadzia]

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.

 

[trampledamage]

It doesn't involve cake or pizza, I haven't got a hope!

 

[RJDiogenes]

I don't even know where to start.

 

[Zulu Romeo]

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.

 

[Roshi]

Yay! A Saturday night quiz on Tuesday!

 

[Jadzia]

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.

 

[Zulu Romeo]

back

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...

 

[Jadzia]

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.

 

[Zulu Romeo]

And Zyon offers the first correct answer.

btw, can we reboot you as Jadzya?

 

[ShamelessMcBundy]

Math is evil and needs to be nuked from orbit. It's the only way to be sure.

 

[RJDiogenes]

My two random guesses were wrong. There's no way I can possibly figure this out.

 

[Zulu Romeo]

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.

 

[NickInABox]

What is this spin-off bullshit!

 

[ShamelessMcBundy]

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?

 

[Jadzia]

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??

 

[ShamelessMcBundy]

What is this spin-off bullshit!

It can be the next big thing. Could even become a franchise.

 

[Zulu Romeo]

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??

I think your overtly complex maths puzzle scared everyone away.

 

[Plecostomus]

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.

This explains why the Warcom was inoperative this morning...

And this gear ratio stuff is too much like work I tell you!

 

[Zulu Romeo]

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.

This explains why the Warcom was inoperative this morning...

And this gear ratio stuff is too much like work I tell you!

I recommending solving them with a few Gyros. Of both sorts.

 

[Plecostomus]

*nails sign to press-brake*

ACHTUNG!
ALLES TURISTEN UND NONTEKNISCHEN LOOKENPEEPERS!
DAS BENDINGSCHNITCLE IST NICHT FÜR DER GEFINGERPOKEN UND MITTENGRABEN! ODERWISE IST EASY TO SCHNAPPEN DER SPRINGENWERK, BLOWENFUSEN UND POPPENCORKEN MIT SPITZENSPARKSEN.

IST NICHT FÜR GEWERKEN BEI DUMMKOPFEN!

DER RUBBERNECKEN SIGHTSEEREN KEEPEN DAS COTTONPICKEN HÄNDER IN DAS POCKETS MUSS.

ZO RELAXEN UND WATSCHEN DER BLINKENLICHTEN.