CAIE IGCSE Mathematics Extended Average Speed Problems

Practise calculating average speed over complete journeys and rearranging speed–distance–time after converting minutes, seconds, metres and kilometres.

Syllabus
2028–2030
Objective
E1.12.3
Level
Extended

Exam points

  • calculate total journey time from each section before dividing total distance by that time
  • convert minutes and seconds to hours and metres to kilometres before reporting km/h
  • rearrange speed × time = distance for bridge, train or algebraic journey contexts

E1.12.3 Solve problems involving average speed question 1

Darpan runs a distance of 12 km and then cycles a distance of 26 km .
His running speed is x km/hx \mathrm{~km} / \mathrm{h} and his cycling speed is 10 km/h10 \mathrm{~km} / \mathrm{h} faster than his running speed. He takes a total time of 2 hours 48 minutes.

Calculate the number of minutes Darpan takes to run the 12 km .

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