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 30 minutes to fill the swimming pool. How lo

Algebra ->  Rate-of-work-word-problems -> 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 30 minutes to fill the swimming pool. How lo      Log On


   

Question 1152251: 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 30 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.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Time for larger hose         t
Time for smaller hose       3t
Both hoses simultaneous     30 minutes

One whole swimming pool of "work"
1%2Ft%2B1%2F%283t%29=1%2F30
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Do the steps to solve.
.
.
t=40
and
highlight%283t=120%29, what the question asks for.

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Since the smaller hose takes 3 times as long as the larger hose to fill the pool, when they are working together the larger hose does 3/4 of the work and thesmaller hose does 1/4 of the work.

That means in 30 minutes the smaller hose fills 1/4 of the pool; therefore it would take the smaller hose 30*4=120 minutes to fill the pool alone.