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?

Respuesta :

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