Comparing fuel efficiencies

Comparing fuel efficiencies

Secondary 2
TGM Original Questions

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

Solution:

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

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