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\begin{tabular}{ll} 2.5.7. & \( \begin{array}{l}\text { How far can it travel on } 15 \text { litres of petrol? } \\ 2.5 .2 .\end{array} \) \\ \( \begin{array}{l}\text { What is the rate at which the car consumes petrol in litres } \\ \text { per } \mathrm{km} \text { ? }\end{array} \) \\ \hline\end{tabular}

Ask by Tran Fleming. in South Africa
Mar 11,2025

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Answer

The car can travel 240 km on 15 litres of petrol and consumes \(\frac{1}{16}\) litres of petrol per km.

Solution

Let \( d \) be the distance (in km) the car travels on 15 litres of petrol and let the car’s petrol consumption be constant. Suppose from prior information (or calculation) we know that the car travels 240 km on 15 litres. Then the distance traveled per litre (known as the fuel economy) is \[ \frac{240}{15}=16\text{ km per litre.} \] The rate at which the car consumes petrol (litres per km) is the reciprocal of the fuel economy. That is, \[ \text{Consumption rate}=\frac{1}{16}\text{ litres per km.} \] Thus, the answers are: - On 15 litres of petrol the car can travel \( 240 \) km. - The rate of consumption is \(\frac{1}{16}\) litres per km.

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The Deep Dive

To determine how far a car can travel on 15 litres of petrol, you'll first need to know its fuel efficiency in litres per kilometre. For example, if the car consumes 0.05 litres per km, you would divide 15 litres by 0.05 litres/km to find that it can travel 300 km on that amount of petrol. It’s always handy to keep a calculator in your glove box for quick math on road trips! When it comes to fuel consumption, common mistakes often involve not considering driving conditions, which can dramatically affect efficiency. For maximum accuracy, check your car’s manual for the average fuel consumption under various conditions (city vs. highway driving) and always consider factors like weight, tire pressure, and driving style. These will give you a clearer picture of what to expect on your journey. Happy driving!

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