SOLUTION: A tank is supplied by two pipes A and B, and emptied by a third pipe C. If the tank is empty and all pipes are opened, the tank can be filled in 20 hrs. If the tank is full and A

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A tank is supplied by two pipes A and B, and emptied by a third pipe C. If the tank is empty and all pipes are opened, the tank can be filled in 20 hrs. If the tank is full and A      Log On


   



Question 30585: A tank is supplied by two pipes A and B, and emptied by a third pipe C. If the tank is empty and all pipes are opened, the tank can be filled in 20 hrs. If the tank is full and A and C are opened, the tank can be emptied in 2 hrs. If A supplies 50 liters per minute more than B, find the capacity of the tank in liters and the rate of each pipe in liters per minute.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
A+B-C=20
A-C=2
A=B+50
A+B-C=20
-(A -C= 2)
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B =18
A=18+50
A=68
68-C=2
-C=-66
C=66
PROOF 68+18-66=20 OR 86-66=20 OR 66=66
68-66=2 OR 2=2
68=18+50 OR 68=68