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Delroy drives 240 miles - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

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Delroy drives 240 miles. His car averages 40 miles per gallon of petrol. Petrol costs £1.30 per litre. 1 gallon is 4.5 litres. How much does Delroy spend on petrol ... show full transcript

Worked Solution & Example Answer:Delroy drives 240 miles - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

Step 1

Calculate the gallons of petrol needed

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Answer

To find out how many gallons of petrol Delroy needs for a 240-mile journey, we use the formula:

Gallons=DistanceMiles per gallon\text{Gallons} = \frac{\text{Distance}}{\text{Miles per gallon}}

Substituting the values, we get:

Gallons=24040=6 gallons\text{Gallons} = \frac{240}{40} = 6 \text{ gallons}

Step 2

Convert gallons to litres

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Now that we know Delroy needs 6 gallons of petrol, we convert gallons to litres. Since 1 gallon is 4.5 litres:

Litres=6×4.5=27 litres\text{Litres} = 6 \times 4.5 = 27 \text{ litres}

Step 3

Calculate the total cost of petrol

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Answer

Finally, we calculate the cost of the petrol needed at £1.30 per litre. Thus:

Total Cost=27 litres×1.30=£35.10\text{Total Cost} = 27 \text{ litres} \times 1.30 = £35.10

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