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2. Nick has 2 cars.

- Car A uses petrol.
- Car B uses diesel.

Petrol costs £1.39 per litre.
Diesel costs £1.47 per litre.

The table below shows the average distance that Nick can drive each car using 1 litre of fuel.

\begin{tabular}{|l|c|}
\hline
Car & Distance per litre \\
\hline
Car A & 10.3 miles per litre of petrol \\
\hline
Car B & 14.6 miles per litre of diesel \\
\hline
\end{tabular}

Nick is going on a journey in one of his cars.
The distance Nick is going to drive is 450 miles.

Work out the difference in the total costs of the fuel for the 2 cars for this journey.



Answer :

GinnyAnswer
To determine the difference in the total cost of fuel for Nick's journey of 450 miles using either Car A or Car B, follow these steps:

1. Calculate the total amount of fuel needed for each car:

For Car A:
- Car A drives 10.3 miles per litre.
- To find the total litres needed, divide the total distance by the miles per litre:
[tex]\[ \text{Litres needed for Car A} = \frac{450 \text{ miles}}{10.3 \text{ miles per litre}} \approx 43.69 \text{ litres} \][/tex]

For Car B:
- Car B drives 14.6 miles per litre.
- To find the total litres needed, divide the total distance by the miles per litre:
[tex]\[ \text{Litres needed for Car B} = \frac{450 \text{ miles}}{14.6 \text{ miles per litre}} \approx 30.82 \text{ litres} \][/tex]

2. Calculate the total cost of fuel for each car:

For Car A:
- Cost of petrol is £1.39 per litre.
- The total cost is:
[tex]\[ \text{Total cost for Car A} = 43.69 \text{ litres} \times £1.39 \text{ per litre} \approx £60.73 \][/tex]

For Car B:
- Cost of diesel is £1.47 per litre.
- The total cost is:
[tex]\[ \text{Total cost for Car B} = 30.82 \text{ litres} \times £1.47 \text{ per litre} \approx £45.31 \][/tex]

3. Calculate the difference in total costs:

To find the cost difference between the two cars:
[tex]\[ \text{Difference in cost} = \left|£60.73 - £45.31\right| \approx £15.42 \][/tex]

Therefore, the difference in the total costs of the fuel for the journey between Car A and Car B is approximately £15.42.
mathstudent55

Answer:

£15.42

Step-by-step explanation:

distance / (fuel consumption) = litres of fuel

litres × £/litre = cost in £

Car A:

450 miles / 10.3 mpL × £1.39 per litre = £60.7281

Car B:

450 miles / 14.6 mpL × £1.47 per litre = £45.3082

Difference in fuel cost:

£60.7281 - £45.3082 = £15.42

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