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.

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

[Maximum number: 2]

Darpan runs a distance of 12 km and then cycles a distance of 26 km .
His running speed is $x \mathrm{~km} / \mathrm{h}$ and his cycling speed is $10 \mathrm{~km} / \mathrm{h}$ 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 .

84 to 84.01...
FT $\frac{720}{\text{their positive answer}}$ to 3 sf or better
M1 for $\frac{12}{\text{their positive answer}}\times60$ oe

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E1.12.3 Solve problems involving average speed question 1