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Algebra II

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Thomas can do a job in 4 hours. Julia can do the same job in 6 hours. How many hours will it take the two of them to do the job it they work together?

  • Algebra II -

    With two of them working together, then their times will be cut in half. Thomas can do it in 2 hours, while Julia does it in 3 hours.

    (2 + 3)/ 2 = 2 1/2 hours

  • Algebra II -

    Not quite.

    Their combined rate of doing the rob is
    1/4 job/h + 1/6 job/h = 5/12 job/h

    5/12 job/h * T (hr) = 1 job
    T = 12/5 = 2 2/5 hours

  • Algebra II -

    Thanks, again -- DrWLS. You're absolutely right -- and I was wrong.

  • Algebra II -

    Maybe they stood around chatting for the additional 6 minutes? <G>

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