Tuesday Night Quiz!

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

  1. Jadzia

    Jadzia on holiday Premium Member

    Joined:
    Apr 25, 2008
    Location:
    England
    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 Admiral

    Joined:
    Sep 11, 2005
    Location:
    hitching a ride to Erebor
    It doesn't involve cake or pizza, I haven't got a hope!
     
  3. RJDiogenes

    RJDiogenes Idealistic Cynic and Canon Champion Premium Member

    Joined:
    Jun 11, 2003
    Location:
    RJDiogenes of Boston
    [​IMG]

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

    Zulu Romeo World Famous Starship Captain Admiral

    Joined:
    Oct 31, 2004
    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. Roshi

    Roshi Admiral Admiral

    Joined:
    Nov 22, 2004
    Location:
    Roshi
    Yay! A Saturday night quiz on Tuesday!
     
  6. Jadzia

    Jadzia on holiday Premium Member

    Joined:
    Apr 25, 2008
    Location:
    England
    Closing date is probably thursday night or friday morning, uk time. :)
     
  7. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

    Joined:
    Oct 31, 2004
    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

    Joined:
    Apr 25, 2008
    Location:
    England
    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

    Joined:
    Oct 31, 2004
    :hugegrin:

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

    ShamelessMcBundy Fleet Admiral Admiral

    Joined:
    Mar 14, 2003
    Location:
    Bursting through walls.
    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

    Joined:
    Jun 11, 2003
    Location:
    RJDiogenes of Boston
    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

    Joined:
    Oct 31, 2004
    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

    Joined:
    Mar 22, 2009
    Location:
    The not-so-Great-anymore White North
    What is this spin-off bullshit!
     
  14. ShamelessMcBundy

    ShamelessMcBundy Fleet Admiral Admiral

    Joined:
    Mar 14, 2003
    Location:
    Bursting through walls.
    Can't i just randomly lob some nukes and see what happens?
     
  15. Jadzia

    Jadzia on holiday Premium Member

    Joined:
    Apr 25, 2008
    Location:
    England
    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

    Joined:
    Mar 14, 2003
    Location:
    Bursting through walls.
    It can be the next big thing. Could even become a franchise. ;)
     
  17. Zulu Romeo

    Zulu Romeo World Famous Starship Captain Admiral

    Joined:
    Oct 31, 2004
    I think your overtly complex maths puzzle scared everyone away. ;)
     
  18. Plecostomus

    Plecostomus Commodore

    Joined:
    Jan 19, 2008
    Location:
    Official forum sex god
    :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

    Joined:
    Oct 31, 2004
    I recommending solving them with a few Gyros. Of both sorts. :bolian:
     
  20. Plecostomus

    Plecostomus Commodore

    Joined:
    Jan 19, 2008
    Location:
    Official forum sex god
    *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.