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Math Help - A work problem...

  1. #1
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    A work problem...

    Sam can do a job in x hours. Denise can do the same job in x+2 hours. How long will it take Sam and Denise to do the job together? (Express answer in terms of x)
    My work: 1/x=1/x+(1/(x+2))
    ..but where do I go from there?
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  2. #2
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    Quote Originally Posted by Voluntarius Disco View Post
    Sam can do a job in x hours. Denise can do the same job in x+2 hours. How long will it take Sam and Denise to do the job together? (Express answer in terms of x)
    My work: 1/x=1/x+(1/(x+2))
    ..but where do I go from there?
    rate sam works ... (1 job)/(x hrs)

    rate denise works ... (1 job)/(x+2 hrs)

    rate together ... \frac{1}{x} + \frac{1}{x+2}

    let t = time to do the job together ...

    \left(\frac{1}{x} + \frac{1}{x+2}\right) \cdot t = 1 job done

    solve for t in terms of x
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