SOLUTION: Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 15 hours to drain the pool by itself, how long will it take the newer pump to drain the

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Question 970260: Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 15 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Found 2 solutions by josmiceli, thesvw:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Add the pumping rates of the 2 pumps
to get their rate working together
Rate for older pump:
[ 1 pool drained ] / [ 15 hrs ]
Rate for newer pump:
[ 1 pool drained ] / [ t hrs ]
Rate working together:
[ 1 pool drained ] / [ 6 hrs ]
----------------------------

Multiply both sides by



The newer pump can drain the pool in
10 hrs working on it's own
-------------------------
check:





OK

Answer by thesvw(77)   (Show Source): You can put this solution on YOUR website!
Together = V/6 Older = V/15 Newer = V/t
1/6 = 1/15 + 1/t
15 -6 = 90/t
t = 10 hours

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