SOLUTION: One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the two hoses to fill the pool working together?

Algebra ->  Rational-functions -> SOLUTION: One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the two hoses to fill the pool working together?      Log On


   

Question 1054367: One hose can fill a small swimming pool in
65
minutes. A larger hose can fill the pool in
35
minutes. How long will it take the two hoses to fill the pool working together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One hose can fill a small swimming pool in
65 minutes. A larger hose can fill the pool in
35 minutes. How long will it take the two hoses to fill the pool working together?
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1st hose:: time = 65 min/job; invert to get rate = 1/65 job/min
2nd hose:: time = 35 min/job ; invert to get rate = 1/35 job/min
Together:: time = x min/job ; invert to get rate = 1/x job/min
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Equation:
rate + rate = together rate
1/65 + 1/35 = 1/x
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35x + 65x = 35*65
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100x = 2275
x = 22.75 minutes = 22 min 45 sec
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Cheers,
Stan H.
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