SOLUTION: It takes a smaller hose 4 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 20 minutes to fill the swimming pool. H

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes a smaller hose 4 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 20 minutes to fill the swimming pool. H      Log On


   



Question 931722: It takes a smaller hose
4
times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together
20
minutes to fill the swimming pool. How long will it take the smaller hose to fill the pool by itself?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x the time of the Larger hose
1%2Fx+%2B+1%2F%284x%29+=+1%2F20min |Multiplying thru by 20x so as all denominators = 1
20 + 5 = x
25min = x, the time of the Larger hose. Smaller hose takes 100min 4%2A25
And..checking
1/25 + 1/100 = 4/100 + 1/100 = 5/100 = 1/20