<PRE><B>Question 744066</B>
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?
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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
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1 + 3 = 12x
x = 4/12
x = 1/3 hr (time for the larger hose to do the job)
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Cheers,
Stan H.
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