SOLUTION: It take one pipe 3 hours to fill the pool and a second pipe 4 hours to drain a pool. The pool is empty and the first pipe begins to fill it. The second pipe is accidentally left op

Algebra ->  Rational-functions -> SOLUTION: It take one pipe 3 hours to fill the pool and a second pipe 4 hours to drain a pool. The pool is empty and the first pipe begins to fill it. The second pipe is accidentally left op      Log On


   



Question 743970: It take one pipe 3 hours to fill the pool and a second pipe 4 hours to drain a pool. The pool is empty and the first pipe begins to fill it. The second pipe is accidentally left open, so the water is also draining out of the pool. Under these conditions how long will it take to fill the pool?
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 draining.
Let +t+ = time in hrs to fill pool with both pipes open
( 1 pool filled ) / ( 3 hrs ) - ( 1 pool emptied ) / ( 4 hrs ) = ( 1 pool filled ) / ( t hrs )
+1%2F3+-+1%2F4+=+1%2Ft+
Multiply both sides by +12t+
+4t+-+3t+=+12+
+t+=+12+
It will take 12 hrs to fill the pool