A ski resort can manufacture enough machine-made snow in 12 h to open its steepest run, whereas it would take 36 h of naturally falling snow

Question

A ski resort can manufacture enough machine-made snow in 12 h to open its steepest run, whereas it would take 36 h of naturally falling snow to provide enough snow. if the resort makes snow while it is snowing naturally, how long will it take until the run can open?

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Answers ( No )

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    2021-09-10T07:01:56+00:00

    It would take 9 hours

    t/12 is the rate the resort makes snow,
    t/36 is the rate for naturally falling snow.
    If it is snowing, AND the resort is making snow, then

    1/12+1/36=1/t
    3/36+1/36=1/t
    4/36=1/t
    4t=36

    t=9

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