1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Filling a tank

  1. May 11, 2010 #1
    1. The problem statement, all variables and given/known data

    "A tank can be filled in 6 hours using 2 pipes. The larger pipe alone would fill it 5 hours sooner than the smaller pipe alone. How long would each pipe alone take?"

    2. Relevant equations

    I know it involves a quadratic not sure on the rest... I cant see how to do with a quadratic i mean.

    3. The attempt at a solution
    assume a is the big pipe and b is the small
    A+B=6
    A=B+5 solved them to get a=11/2hours and b=1/2, i can see thats not right. i said that a was the bigger one and my answer says that its not????
     
  2. jcsd
  3. May 11, 2010 #2

    This website may help you

    http://www.algebra.com/algebra/home...ems/HOW-TO-Solve-Rate-of-Work-Problems.lesson


    So using the the equation form the website you get

    1/a + 1/a+5 = 1/6

    This simplifies to

    (2a+5)/a(a+5) = 1/6

    which simplifies down to the quadratic a^2 – 7a -30 = 0
     
  4. May 11, 2010 #3
    ok thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Filling a tank
Loading...