Answer :
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.
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.
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
