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Math Help - Algebra problem

  1. #1
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    Algebra problem

    A computer expert can do a job in 6 hours. His secretary can do the same job in 7hrs. After the expert works on the job foe 2 hours, his secretary takes it and complete the job. How many hrs did it take her to complete the job?

    after 2hrs the experthad completed 1/3 of the job...what do I have to do now?? 1/3 * 1/7
    ..I'm not sure...Could someone help me??? Please.
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  2. #2
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    Lexington, MA (USA)
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    Hello, lila!

    A computer expert can do a job in 6 hours.
    His secretary can do the same job in 7 hrs.
    After the expert works on the job foe 2 hours,
    his secretary takes over and complete the job.
    How many hrs did it take her to complete the job?

    The secretary can do the job in 7 hours.
    In one hour, she completes \tfrac{1}{7} of the job.
    In x hours, she completes \tfrac{x}{7} of the job.

    The expert has already completed \tfrac{1}{3} of the job.
    The secretary will complete the other \tfrac{2}{3} of the job.

    There is our equation: . \frac{x}{7} \:=\:\frac{2}{3} \quad\Rightarrow\quad x \:=\:\frac{14}{3}


    It took her 4\tfrac{2}{3} hours to complete the job.

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  3. #3
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    Thank you Soroban
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