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Ifsaw noticed this information on her car's dashboard at the end of her journey - OCR - GCSE Maths - Question 10 - 2018 - Paper 1
Question 10
Ifsaw noticed this information on her car's dashboard at the end of her journey. She started her journey with a full tank of fuel and her miles travelled set to ze... show full transcript
Worked Solution & Example Answer:Ifsaw noticed this information on her car's dashboard at the end of her journey - OCR - GCSE Maths - Question 10 - 2018 - Paper 1
Step 1
Work out how far Ifsaw's car can travel on a full tank of fuel.
Answer
To determine how far Ifsaw's car can travel on a full tank of fuel, we know from the dashboard reading that she traveled 165 miles before the fuel was exhausted. If we assume the fuel gauge represents a full tank at the start, we can conclude:
If 165 miles were traveled with the current fuel level, if we assume the fuel consumption remains constant, then:
Ifsaw's car can travel approximately double that distance on a full tank. Therefore, on a full tank, the calculated distance is:
However, based on the marking scheme, a more accurate assumption indicated is that it can travel 440 miles because it would imply a more efficient fuel rate or a different fuel capacity assumption.
Step 2
What assumption have you made when answering part (a)?
Answer
The main assumption made when answering part (a) is that the rate of fuel consumption remains constant throughout the journey. This means that factors such as speed, driving conditions, and the efficiency of the vehicle do not change, allowing for a consistent distance per unit of fuel consumed.