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Academics – Mathematics : 2013/DEC/01
Question

Q1. (a) Solve the following system of equations for x and y. (8)

(x + 3)/5 - y/4 = 5

3x + 4y = 4

(b) A ballast tank can be filled by pump A in 18 minutes and by another pump, B, in 15 minutes.

When a third pump, C, is used simultaneously with pumps A and B the tank can be filled in 6 minutes.

Calculate how long it would take to fill the tank using only pump C. (8)

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