SOLUTION: pipe A can fill an empty water tank in 3hours, while pipe B can fill the same tank in 6 hours. when the tank is full it can be emptied by pipe C in 8 hours. pipes A and B are open

Question 1149841: pipe A can fill an empty water tank in 3hours, while pipe B can fill the same tank in 6 hours. when the tank is full it can be emptied by pipe C in 8 hours. pipes A and B are opened at the same time when the tank is empty. if one hour later , pipe C is opened. find the total time taken to fill the tank?
Answer by ikleyn(52771) (Show Source): You can put this solution on YOUR website!
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The combined rate of the pipes A and B is filling   +  =  =   of the tank volume per hour.


So, after 1 hour working, the two pipes A and B will fill    of the tank volume.



The combined net inflow rate of the three pipes A, B and C  is   +  -  =  =  =  of the tank volume per hour.


Hence, the three pipes will fill the remaining    of the tank volume in   =  hours =  hours = 

=  hours = 1 hour and 20 minutes.


The total time to fill the tank is then  2 hours and 20 minutes.    ANSWER

Solved.

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