Tuesday Night Quiz!

Discussion in 'Miscellaneous' started by Jadzia, Jul 7, 2009.

  1. Jadzia

    Jadzia on holiday Premium Member

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    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.

    [​IMG]


    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
     
  2. trampledamage

    trampledamage Clone Moderator

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

    RJDiogenes Idealistic Cynic and Canon Champion Premium Member

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    [​IMG]

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

    Zulu Romeo World Famous Starship Captain Admiral

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    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.
     
  5. Crom!

    Crom! Admiral Admiral

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    Yay! A Saturday night quiz on Tuesday!
     
  6. Jadzia

    Jadzia on holiday Premium Member

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    Closing date is probably thursday night or friday morning, uk time. :)
     
  7. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

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    back
    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...
     
    Last edited: Jul 8, 2009
  8. Jadzia

    Jadzia on holiday Premium Member

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    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:
     
  9. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

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    :hugegrin:

    btw, can we reboot you as Jadzya? ;)
     
  10. ShamelessMcBundy

    ShamelessMcBundy Fleet Admiral Admiral

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

    RJDiogenes Idealistic Cynic and Canon Champion Premium Member

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    My two random guesses were wrong. There's no way I can possibly figure this out. [​IMG]
     
  12. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

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    If you can work out the correct trajectory, angle of fire, force of thrust required, and probability of success... then go for it. :bolian:
     
  13. NickInABox

    NickInABox Captain Captain

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    What is this spin-off bullshit!
     
  14. ShamelessMcBundy

    ShamelessMcBundy Fleet Admiral Admiral

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

    Jadzia on holiday Premium Member

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    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:
     
  16. ShamelessMcBundy

    ShamelessMcBundy Fleet Admiral Admiral

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    It can be the next big thing. Could even become a franchise. ;)
     
  17. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

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    I think your overtly complex maths puzzle scared everyone away. ;)
     
  18. Plecostomus

    Plecostomus Commodore

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    :wtf:

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

    And this gear ratio stuff is too much like work I tell you!
     
  19. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

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    I recommending solving them with a few Gyros. Of both sorts. :bolian:
     
  20. Plecostomus

    Plecostomus Commodore

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    *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.