SOLUTION: A pipe fills 1 tank in 4 h. If a second pipe empties 1 tank in 6 h. How long does it take for the tank tank to fill with both pipes operating?

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Question 872545: A pipe fills 1 tank in 4 h. If a second pipe empties 1 tank in 6 h. How long does it take for the tank tank to fill with both pipes operating?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rate of filling and subtract
the rate of emptying
---------------------
Rate of filling:
( 1 tank filled ) / ( 4 hrs )
Rate of emptying:
( 1 tank ) / ( 6 hrs )
----------------------
( 1 tank filled ) / ( t hrs ) is the rate
of filling with both pipes open
----------------------------
+1%2F4+-+1%2F6+=+1%2Ft+
Multiply both sides by +12t+
+3t+-+2t+=+12+
+t+=+12+
It takes 12 hrs for the tank tank to
fill with both pipes operating