Home Remodeling — Math Problem?

February 21, 2010 by homeremodeling · 1 Comment
Filed under: Mathematics 
Home Remodeling
salmonella_jr asked:

Sanchez Remodeling has three painters: Sue, Esther, and Murphy. Working together they can paint a large room in 4 hours. Sue and Murphy can paint the same size room in 6 hours. Esther and Murphy can paint the same size room in 7 hours. How long would it take each of them to paint the room alone?

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One Response to “Home Remodeling — Math Problem?”
  1. Dr D says:
    February 21, 2010 at 7:40 pm

    let S, E and M be their rates of painting

    S + E + M = 1/4
    S + M = 1/6
    E + M = 1/7

    From the first two, we get
    E = 1/12 ie E takes 12 hours
    From hte last, M = 5/84 ie M takes 16.8 hours
    From the second S = 3/28 ie S takes 9.33 hours [who]

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