Factory assembly rates

Factory assembly rates

Secondary 2
TGM Original Questions

Factory A takes \(x\) minutes per toaster. Factory B takes \((x+2)\) minutes. Together they assemble \(25\) toasters per hour.

  1. Write Factory A’s hourly output.
  2. Write Factory B’s hourly output.
  3. Form an equation and show that \(5x^2-14x-24=0\).
  4. Solve and find Factory B’s hourly output.

Solution:

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Answer:(a) \(\frac{60}{x}\); (b) \(\frac{60}{x+2}\); (c) \(5x^2-14x-24=0\); (d) \(x=4\), so Factory B makes \(10\) per hour.

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