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Homework Help: Word problem maybe solved by quadratic equation.

  1. Nov 21, 2009 #1
    1. The problem statement, all variables and given/known data
    Here the the word problem:
    Genelle and Eljen can paint a room together in 4 hours. Working alone, Genelle can paint the room in two hours less than Eljen can. Find how long it takes Eljen to paint the room alone.
    2. Relevant equations
    Maybe, this problem can be solved using the quadratic equation.
    3. The attempt at a solution
    Please.. it's about quadratic erquation.
  2. jcsd
  3. Nov 21, 2009 #2


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    Homework Helper

    A general approach in these is to think about the RATES of work. If you have two people, say A and B, who require a hours and b hours when working alone to finish a job, and t hours when working together, the numbers a, b, and t are connected with this equation:

    \frac 1 a + \frac 1 b = \frac 1 t

    Use the information provided in your question to set up the unknowns, and then the appropriate equation.
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