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Rates, SM-Bank 006

Pete travelled 646 kilometres and used 76 litres of fuel.

  1. Express Pete's average fuel consumption in:
     
    i.  litres per 100 kilometres, giving your answer rounded to 1 decimal place.  (2 marks)

    ii.  kilometres per litre.  (1 mark)

      
  2. If Pete's average fuel consumption remained the same, how many litres of fuel would he use to travel 272 kilometres?  (2 marks)

Show Answers Only

a.    i.    \(11.8\ \text{L}/100\ \text{km  (1 d.p.)}\)

ii.   \(8.5\ \text{km}/\text{L}\)

b.    \(32\ \text{litres}\)

Show Worked Solution
a.    i.    \(\text{Average litres/100 km}\) \(=\dfrac{76}{646}\times 100/100\ \text{km}\)
    \(=11.764\dots /100\ \text{km}\)
    \(\approx 11.8\ \text{L}/100\ \text{km  (1 d.p.)}\)

 

ii.   \(\text{Average km/L}\) \(=\dfrac{646}{76}\ \text{km}/\text{L}\)
  \(=8.5\ \text{km}/\text{L}\)

 

b.    \(\text{Litres}\) \(=\dfrac{272}{8.5}\)
    \(=32\)

 
\(\therefore\ \text{Pete would use}\ 32\ \text{litres of fuel to travel}\ 272\ \text{km.}\)