SOLUTION: A water tank can be filled by an inlet pipe in 8 hours. It takes 2 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are ope

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A water tank can be filled by an inlet pipe in 8 hours. It takes 2 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are ope      Log On


   

Question 1107747: A water tank can be filled by an inlet pipe in 8 hours. It takes 2 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rate of filling is [ 1 tank ] / [ 8 hrs ]
The rate of emptying is [ minus 1 tank ] / [ 16 hrs ]
( twice as long and removing water )
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Let +t+ = time in hrs to fill the tank with both pipes open
+1%2F8+-+1%2F16+=+1%2Ft+
Multiply both sides by +16t+
+2t+-+t+=+16+
+t+=+16+
It will take 16 hrs to fill the tank with both pipes open