Brain Teaser

Discussion in 'Physics & Math' started by DaveC426913, Apr 18, 2019.

  1. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Woudnt it be 6 levels of output possible.???
     
  2. Google AdSense Guest Advertisement



    to hide all adverts.
  3. DaveC426913 Valued Senior Member

    Messages:
    18,960
    No. 1, 2, 3, 4, 6. That's 5.
     
  4. Google AdSense Guest Advertisement



    to hide all adverts.
  5. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Dependin on whether 1 or 2 burners is in the on position… on low thers 2 levels of output posible… on medium thers 2 levels of output posible an on Hi thers 2 levels of output posible… so thats 6 diferent levels of output posible.!!!
     
  6. Google AdSense Guest Advertisement



    to hide all adverts.
  7. DaveC426913 Valued Senior Member

    Messages:
    18,960
    1 burner on Medium or 2 burners on Low output the same amount of heat: 10K.

    Notice that the OP says 'I can set it for 1 of 5 possible levels of output,'
     
  8. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Ok... got it.!!!

    That was almost dificult for me... so i woud rate the Teaser Very Hard for the average person

    Please Register or Log in to view the hidden image!

     
  9. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    The Low burners output 5k each... the Medium burners output 10k each an the High burners output 15k each... so Medium coud output higher btu's than when on High.!!!
     
  10. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Woud it work out beter for the pattern to double if you'r heater coud output between 5K and 40K BTUs.???
     
    Last edited: Apr 21, 2019
  11. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Is the "6" suposed to represent twice the BTUs as the "3".???
     
  12. DaveC426913 Valued Senior Member

    Messages:
    18,960
    If you turn on both burners it will output approximately twice as much, yes.
     
  13. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    When set on High (3)... how many BTUs will a single burner output.???
     
  14. DaveC426913 Valued Senior Member

    Messages:
    18,960
    Well, that's not the point. I was careful to make a loose association between setting and actual BTUs. It is not necessarily linear.
     
  15. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    Thats perty specific.!!!
     
  16. DaveC426913 Valued Senior Member

    Messages:
    18,960
    What do you want from me?
    You asked for specifics, and then you went and found specifics and now you're callin' me out on it?
    Well, you can do the math now.

    In a perfect world, it would be 5K BTUs per level per burner.

    There is no way to set it to output 25K BTUs.
     
  17. cluelusshusbund + Public Dilemma + Valued Senior Member

    Messages:
    8,000
    I want to know how you’r brain teaser works wit the values youv’e given... so i woud like for you to explain how the output of the heater set at 6 will be twice the BTUs as when its set at 3.!!!
     
  18. DaveC426913 Valued Senior Member

    Messages:
    18,960
    Well, here's the thing. I cannot state with any certainty that there is a linear relationship between any of the settings. Since it all feeds from a 20lb. tank, the values might be affected by flow. There's no way to know that, for example the low medium and high settings are equally spaced. or that two burners is actually double the output of one.

    Which is why, in the teaser, I was careful not to have it dependent on actual values, except the top and bottom.

    With that said, I can still posit the various outputs of an ideal setup. So:

    With one burner:
    Low: 5K BTU
    Med: 10K BTU
    High: 15BTU
    With two burners:
    Low: 10K BTU
    Med: 20K BTU
    High: 30K BTU

    While there are six settings, the wording of the teaser talks about how many levels of output there are. It happens that there are two ways of setting the controls to get 10K BTUs resulting only 5 levels of output possible: 5, 10, 15, 20 and 30. There is no way to set it to output 25K BTUs.


    The trick to the teaser is in phrasing the outputs so they look like a sequence: 1, 2, 3, 4, ..., 6.
    They look like there should be a 5 in there, but only because you're filling in the blanks and assuming a relationship between the numbers that does not exist.

    The correct pattern array of the outputs is not a sequence, but an array:
    1 . 2 . 3
    2 . 4 . 6

    Now it's apparent why there's no 5.
     

Share This Page