Problema Solution
It takes a smaller hose 3 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 15 minutes to fill the swimming pool. How long will it take the smaller hose to fill the pool by itself? Do not do any rounding.
Answer provided by our tutors
let
x = the minutes that the smaller hose needs to fill the pool by itself, x>0
1/x pool per min is the rate of the smaller hose
x/3 = the minutes that the larges hose needs to fill the pool by itself
1/(x/3) = 3/x pool per min is the rate of the larger hose
1/15 pool per min is the together rate
1/x + 3/x = 1/15
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x = 60 min
x = 1 hr
The smaller hose needs 1 hour to fill the pool by itself.