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Math Help - Rational Expressions (Problem Solving Q)

  1. #1
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    Rational Expressions (Problem Solving Q)

    Hi, it's my first time posting here and I need urgent help. I am doing a problem solving question for my Intermediate Algebra class and I am stuck on one particular question.

    The question reads:

    A Homeowner estimates that it will take her 8 days to roof her house. A professional roofer estimates that he could roof the house in 5 days. How long will it take if the homeowner helps the roofer?

    Can someone please help? Thanks in advance.
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  2. #2
    Member Mentia's Avatar
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    Homeowner: 1 roof / 8 days = (1/8) roof / day
    Contractor: 1 roof / 5 days = (1/5) roof / day

    Homeowner + Contractor = (1/8) roof / day + (1/5) roof /day
    = (13/40) roof / day

    1 roof / ((13/40) roof/day) = 40/13 days = about 3.1
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  3. #3
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    Quote Originally Posted by Mentia View Post
    Homeowner: 1 roof / 8 days = (1/8) roof / day
    Contractor: 1 roof / 5 days = (1/5) roof / day

    Homeowner + Contractor = (1/8) roof / day + (1/5) roof /day
    = (13/40) roof / day

    1 roof / ((13/40) roof/day) = 40/13 days = about 3.1
    Thanks for the help.
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