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Math Help - Highway Work ( frustrated with this )

  1. #1
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    Highway Work ( frustrated with this )

    In checking records, a contractor finds that a crew A can pave a certain lenght of highway in 9hr, while crew B can do the same job in 12 hr. How long would it take if they worked together ?
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  2. #2
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    Hello, diehardmath4!

    Crew A can pave a certain length of highway in 9 hours,
    while crew B can do the same job in 12 hours.
    How long would it take if they worked together?

    Crew A can do the job in 9 hours.
    . . In one hour, it can do \tfrac{1}{9} of the job.
    . . In x hours, it can do \tfrac{x}{9} of the job.

    Crew B can do the job is 12 hours.
    . . In one hour, it can do \tfrac{1}{12} of the job.
    . . In x hours, it can do \tfrac{x}{12} of the job.

    Working together for x hours, they can do: . \tfrac{x}{9} + \tfrac{x}{12} of the job.

    But in x hours, we expect them to complete the job (1 job).


    There is our equation: . \frac{x}{9} + \frac{x}{12} \;=\;1

    Now solve for x . . .

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  3. #3
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    THANK YOU THANK YOU THANKS YOUR THE BEST !!!
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