When three pumps, A,B and C are running together, they canpump p 3600 gal per ho

Question

When three pumps, A,B and C are running together, they canpump p 3600 gal per hour. when only A and B are running, 2300 gal per hour canbe pumped. When A and C are running 2300gal per can bepumped.What is the pimping 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 perhour When three pumps, A,B and C are running together, they canpump p 3600 gal per hour. when only A and B are running, 2300 gal per hour canbe pumped. When A and C are running 2300gal per can bepumped.What is the pimping 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 perhour

Explanation / Answer

A + B + C = 3600 gal/hr A + B = 2300 gal/hr A + C = 2300 gal/hr Subtract [A + C = 2300] from [A + B = 2300] to eliminate A: [A + B = 2300] - [A + C = 2300] = [B - C = 0] => B = C Now A + 2C = 3600 A + C = 2300 Multiply [A + C = 2300] by -2 and then add it to [A + 2C = 3600] toeliminate C: [A + 2C = 3600] + [-2A + -2C = -4600] = [-A = -1000] => A = 1000gal/hr, Now use this value of A to find B: 1000 + B = 2300 => B = 1300 gal/hr, and since B = C, C = 1300gal/hr

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