When three pumps, A, B, and C, are running together, they can pump 3400 gal per hour. When only A, and B are running, 1900 gal per hour can be pumped. When only A and C are running, 2300 gal per hour can be pumped. What is the pumping capacity of each pump?
What is the pumping capacity of A___GAL PER HOUR?
What is the pumping capacity of B___GAL PER HOUR?
What is the pumping capacity of C___GAL PER HOUR?
2 answers
what is your answer?
A + B + C = 3400
-----------------
A + B = 1900
A + C = 2300
------------subtract
B-C = -400
B = C - 400
A + ( C-400) + C = 3400
A + 2 C = 3800
but
A + 1 C = 2300
---------------- subtract
C = 1500
then A = 2300 - 1500 = 800
B = 1500-400 = 1100
-----------------
A + B = 1900
A + C = 2300
------------subtract
B-C = -400
B = C - 400
A + ( C-400) + C = 3400
A + 2 C = 3800
but
A + 1 C = 2300
---------------- subtract
C = 1500
then A = 2300 - 1500 = 800
B = 1500-400 = 1100