NSW Y12 Maths - Standard 2 Rates and Ratios Fuel Consumption Rate

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Fuel Consumption Rate Theory

A motor vehicle's fuel consumption rate is the number of litres of fuel it uses to travel 100 kilometres. \[ \text { Fuel consumption tate }=\dfrac{\text { Amount of fuel }(L) \times 100}{\text { Distance travelled }(\mathrm{km})} \]  \textbf{Example}\\ A car uses 42 litres of petrol to travel \(600 \mathrm{~km}\). What is the fuel consumption in litres per 100 km.\\  \textbf{Solution}\\ $\begin{aligned} \text { Method 1} \qquad F R&=\frac{L \times 100}{D} \\ & =\frac{42 \times 100}{600} \\ & =7 l / 100 \mathrm{~km} \\ & \end{aligned}$\\  $\begin{aligned} \text { Method 2 }  \qquad 600 \mathrm{~km} & =42 \text { litres } \\ 1 \mathrm{~km} & =\frac{42}{600} \\ 100 \mathrm{~km} & =\frac{42}{600} \times 100 \\ & =7 l / 100 \mathrm{~km} \end{aligned}$\\

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