Output rates of two pumps

Output rates of two pumps

Secondary 2
5 marks
TGM Original Questions

Pump X and Pump Y deliver water at constant rates of \(x\) litres per hour and \(y\) litres per hour respectively.

  1. Form equations in \(x\) and \(y\) for the following tests.
    1. Pump X runs for \(3\) hours and Pump Y runs for \(4\) hours, delivering \(570\) litres altogether.[1]
    2. Pump X runs for \(5\) hours and Pump Y runs for \(2\) hours, delivering \(530\) litres altogether.[1]
  2. Hence, solve the simultaneous equations obtained in (a) and find the delivery rate of each pump.[3]

Solution:

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Answer:(a) \(3x+4y=570,5x+2y=530\) (b) \(x=70,y=90\)

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