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?

Question

Mathematics

Catherine Gallagher

15 May, 14:21

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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Russell Calderon · Answer 1

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