The diagram shows the fuel gauge in a car. The tank has a capacity of 60 litres. EF1/2© EAGLE BEACON GLOBAL The needle points three-quarters of the way from...
Question 1 Report
The diagram shows the fuel gauge in a car. The tank has a capacity of 60 litres.
The needle points three-quarters of the way from E to F.
- Work out how many litres of fuel are in the tank. (2)
- The car uses fuel at a rate of 8.5 km per litre. Find how far the car can travel before the tank is empty. (2)
Answer Details
This question reads a fraction from a gauge, then uses that fraction and a rate to find a distance.
(a) The gauge is described as pointing three-quarters of the way from empty (E) to full (F), so the fuel in the tank is three-quarters of the tank's capacity: \(60 \times 0.75\). [1 mark]
This equals \(45\) litres. [1 mark]
(b) At a consumption rate of 8.5 km per litre, the distance the car can travel is the fuel available multiplied by the rate: \(45 \times 8.5\). [1 mark]
This equals \(382.5\) km. [1 mark]
Reading a fraction of a scale converts directly into a fraction of the labelled capacity, which then feeds into the rate calculation for distance.
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