A school coach uses 25 litres of diesel to travel 160 kilometres on a return trip to a museum, at a steady rate of fuel use. A different venue is 100 kilome...
Question 1 Report
A school coach uses 25 litres of diesel to travel 160 kilometres on a return trip to a museum, at a steady rate of fuel use. A different venue is 100 kilometres away.
- Work out how many litres of diesel the coach uses for the 100 kilometre journey. (2)
- Give your answer to the nearest litre. (1)
Answer Details
Direct proportion means the fuel used per kilometre stays fixed, so dividing the known fuel by the known distance gives the rate per kilometre, which then scales to any other distance.
- Diesel rate = \(25\div160\) litres per km. For \(100\) km: \(25\div160\times100=15.625\) litres. [2 marks]
- Rounded to the nearest litre, this is \(16\) litres. [1 mark]
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