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Factory assembly rates

Factory assembly rates

Secondary 2
8 marks
TGM Original Questions

Optional extension

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

Solution:

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

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