# Finite Mathematics - Work and Time Problems

When three pumps, A, B, and C run together, they pump 3700 gallons/hour. When only A and B are running, 2700 gals/hr is the result and when only A and C are running, 2400 gals/hr is the result. What is the pumping capacity of the C pump, in gals/hr?

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Let the pumping capacities of A, B, C be respectively x, y, z gallons/hour.

A's 1 hour work = 1/x, B's 1 hour work = 1/y, ...

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