Painter team-size equation

Painter team-size equation

Secondary 2
4 marks
TGM Original Questions

Core stretch

Assume constant individual rates, no interruptions and no change in efficiency when the number of workers or machines changes. For consumption, assume equal constant consumption per person.

Six painters are hired for a house. If two more painters join, the job finishes \(5\) days earlier. Calculate

  1. the days taken by the original six painters, and[2]
  2. how many additional painters are needed to finish \(12\) days earlier than the original schedule.[2]

Solution:

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Answer:(a) \(20\) days (b) \(9\) additional painters.

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