Machine production with breakdowns

Machine production with breakdowns

Secondary 2
3 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.

Eighteen identical machines produce \(64\,800\) bottles in \(6\) hours. On another day, \(84\,000\) bottles are required but six machines are not working. How long must the operating machines run?[3]

Solution:

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Answer:\(\dfrac{35}{3}\) h, or \(11\) h \(40\) min.

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