SOLUTION: One tap fills a tank with water in 2 hours and another tap drains the water in 3 hours. If the tank is empty and both taps are turned on at the same time,how long will the tap take

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One tap fills a tank with water in 2 hours and another tap drains the water in 3 hours. If the tank is empty and both taps are turned on at the same time,how long will the tap take      Log On


   

Question 802608: One tap fills a tank with water in 2 hours and another tap drains the water in 3 hours. If the tank is empty and both taps are turned on at the same time,how long will the tap take to fill the tank fully?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rates of filling and emptying
with filling (+) and emptying(-)
Rate of filling:
( 1 tank filled ) / ( 2 hrs )
Rate of emptying:
( 1 tank emptied ) / ( 3 hrs )
-------------------------
Let +t+ = time in hrs to fill the tank
+1%2F2+-+1%2F3+=+1%2Ft+
Multiply both sides by +6t+
+3t+-+2t+=+6+
+t+=+6+
It will take 6 hrs to fill the tank with both taps on