IMC 2014 Q9
9. At the age of twenty-six, Gill has passed her driving test and bought a car. Her car uses \(p\) litres of petrol per 100 km travelled. How many litres of petrol would be required for a journey of \(d\) km?
- A \(\dfrac{pd}{100}\)
- B \(\dfrac{100p}{d}\)
- C \(\dfrac{100d}{p}\)
- D \(\dfrac{100}{pd}\)
- E \(\dfrac{p}{100d}\)
Intermediate Mathematical Challenge 2014, Question 9. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A \(\dfrac{pd}{100}\)
Gill's car uses \(p/100\) litres of petrol for every one kilometre travelled. So for a journey of length \(d\) km, \(pd/100\) litres of petrol are required.
Solution © UK Mathematics Trust, from the IMC 2014 solutions. Longer versions with investigations: Solutions and investigations (PDF).