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Math Help - [SOLVED] Finding the rate in an Algebra 1 Work Word Problem

  1. #1
    Newbie momokitty2's Avatar
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    Exclamation [SOLVED] Finding the rate in an Algebra 1 Work Word Problem

    Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

    Equation > 4.95/9 + 4.95/x = 1

    I know how to set-up the equation, but I just don't know how to solve it.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by momokitty2 View Post
    Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

    Equation > 4.95/9 + 4.95/x = 1

    I know how to set-up the equation, but I just don't know how to solve it.
    get the x's one one side of the equation:

    \Rightarrow \frac {4.95}{x} = 1 - \frac {4.95}9

    \Rightarrow \frac {4.95}x = \frac {4.05}9

    now flip both sides:

    \Rightarrow \frac x{4.95} = \frac 9{4.05}

    now multiply both sides by 4.95

    \Rightarrow x = 4.95 \cdot \frac 9{4.05}

    and simplify
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