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12 March, 05:21

Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?

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  1. 12 March, 05:50
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    A) (S * H) / (S + H) = 60

    B) 2*H = S

    Inserting "B" into "A"

    (2H * H) / (2H + H) = 60

    2H^2 = 120H + 60H

    2H^2 - 180 H = 0

    H = 90 minutes

    S = 180 minutes

    Double Check

    (180 * 90) / (180 + 90) = 60

    Correct

    Hilda takes 90 minutes Stan takes 180 minutes.
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