Comparing fuel efficiencies

Comparing fuel efficiencies

Secondary 2
8 marks
TGM Original Questions

Optional extension

Car A travels \(x\) km per litre and Car B travels \((x-3)\) km per litre. Each car makes a \(360\) km journey, and Car B uses \(6\) litres more.

  1. Write Car A’s petrol use.[2]
  2. Write Car B’s petrol use.[2]
  3. Form an equation and show that it reduces to \(x^2-3x-180=0\).[2]
  4. Solve it and find Car B’s petrol use.[2]

Solution:

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Answer:(a) \(\dfrac{360}{x}\) L (b) \(\dfrac{360}{x-3}\) L (c) \(x^2-3x-180=0\) (d) \(x=15\), so Car B uses \(30\) L.

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