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anonymous

  • 5 years ago

Working together, Tim and Jeff can detail a car in 2.5 hours. Working alone, Tim can detail the same car in 4.5 hours. Approximately how long will it take Jeff to detail the car if he is working alone?

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  1. anonymous
    • 5 years ago
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    Time together Time together ------------ + ----------- = 1 Time alone Time alone Generic equation

  2. anonymous
    • 5 years ago
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    2.5 2.5 -- + --- = 1 4.5 x Multiply by common denominator of 4.5x

  3. anonymous
    • 5 years ago
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    4.5x(2.5) 4.5x(2.5) -------- + -------- = 4.5x(1) 4.5 x

  4. anonymous
    • 5 years ago
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    Cancel the denominators into the numerators

  5. anonymous
    • 5 years ago
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    x(2.5) + 4.5(2.5) = 4.5x(1)

  6. anonymous
    • 5 years ago
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    2.5x + 11.25 = 4.5x

  7. anonymous
    • 5 years ago
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    Solve. 2.5x + 11.25 = 4.5x 11.25 = 2x 5.625 hours

  8. anonymous
    • 5 years ago
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    wow..thanks.

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