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-   -   Quadratic formula (https://www.askmehelpdesk.com/showthread.php?t=94178)

  • May 19, 2007, 07:27 PM
    babi_gurl
    Quadratic formula
    Hey I need some help with this question;
    A tank can be filled in 6 hrs using two pipes. The larger pipe alone would fill it 5 hrs sooner than the smaller pipe alone. How long would each pipe alone take?
  • May 20, 2007, 04:00 AM
    galactus
    Try setting it up like so:



    Solve for t
  • May 20, 2007, 04:21 AM
    babi_gurl
    hey thxx but can u please explain how u came up with that equationnn
  • May 20, 2007, 04:36 AM
    galactus
    Anytime you see one of these 'pipe' problems it is convenient to introduce the part of the tank filled in 1 hour.

    1/t = the part of the tank filled by the large pipe in 1 hour.

    1/(t+5) is the part of the tank filled by the small pipe in 1 hour, because it takes 5 hours longer to fill than the large one.

    1/6 is the part of the tank filled by both in 1 hour.

    So, we have:

    (part filled by large pipe in 1 hour)+(part filled by small pipe in 1 hour)=part filled by both in 1 hour.

    See?
  • May 20, 2007, 04:41 AM
    babi_gurl
    Ohh I get it!! Lol thanks so much XD
  • May 20, 2007, 05:14 AM
    galactus
    You're so welcome. You're one of the few posters on this site who even bother to respond back, let alone say thanks.

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