Intermediate Algebra

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Dale and Kim can assemble a swing set in 1 1/2 hours.Working alone it takes kim 4 hours longer than Dale to assemble the swing set .How long does it take Dale working alone to assemble the swing set?

  • Intermediate Algebra -

    1/d + 1/(d+4) = 1/(3/2)
    d+4 + d = 2/3 d(d+4)
    6d + 12 = 2d^2 + 8d
    2d^2 + 2d - 12 = 0
    d^2 + d - 6 = 0
    (d+3)(d-2) = 0
    d = 2

    1/2 + 1/6 = 1/(3/2)
    works for me

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