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
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 15 minutes to fill the swimming pool. How long
Log On
Question 744066: 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? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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?
---------------------------
larger hose rate: 1/(3x) job/hr
smaller hose rate: 1/x job/hr
together rate (1/(1/4)) 4 job/hr
Equation:
rate + rate = together rate
1/3x + 1/x = 4
-----
1 + 3 = 12x
x = 4/12
x = 1/3 hr (time for the larger hose to do the job)
===============
Cheers,
Stan H.
===============
(