SOLUTION: Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 9 hours to drain the pool by itself, how long will it take the newer pump to drain the p
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Question 923869: Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 9 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
flow rate = r = v/t
t = v/r
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v = volume of pool
x = rate of old pump
y = rate of new pump
---
x + y = v/t
x + y = v/3
x = v/9
---
x + y = v/3
v/9 + y = v/3
y = v/3 - v/9
y = 3v/9 - v/9
y = 2v/9
y = (2/2)v/(9/2)
y = v/(9/2)
answer:
(9/2) = 4.5 hours
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