algebra

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How is this problem solved?

It takes Bobby 60 minutes longer to wax the car than it does his brother Kevin. Together it takes them 50 minutes to wax the car. How long does it take each working separately?

  • algebra -

    If Kevin takes x minutes,

    1/50 = 1/(x+60) + 1/x
    x = 10(2+√34) =~ 78.3

    So
    Kevin takes 78.3 minutes,
    Bobby takes 138.3 minutes.

  • algebra -

    Thank you.

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