SOLUTION: When three pumps, A, B, and C, are running together, they can pump 3500 gal per hour. When only A and B are running, 2100 gal per hour can be pumped. When only A and C are running,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: When three pumps, A, B, and C, are running together, they can pump 3500 gal per hour. When only A and B are running, 2100 gal per hour can be pumped. When only A and C are running,      Log On


   

Question 233623: When three pumps, A, B, and C, are running together, they can pump 3500 gal per hour. When only A and B are running, 2100 gal per hour can be pumped. When only A and C are running, 2400 gal per hour can be pumped. What is the pumping capacity of each pump?
Answer by Alan3354(69443) About Me  (Show Source):
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When three pumps, A, B, and C, are running together, they can pump 3500 gal per hour. When only A and B are running, 2100 gal per hour can be pumped. When only A and C are running, 2400 gal per hour can be pumped. What is the pumping capacity of each pump?
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A + B + C = 3500
A + B = 2100
A + C = 2400
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A + B + C = 3500
A + B = 2100
---------------- Subtract
C = 1400
A = 1000
B = 1100