CAIE IGCSE Mathematics Distance from Speed-Time Graphs

Practise calculating distance as the total area under linear speed–time graph sections and using that area in further journey calculations.

Exam points

split the region under the graph into rectangles, triangles or trapezia with time as width
add all signed section areas to obtain total distance in units consistent with speed and time
combine the area-derived distance with a remaining distance or comparison to solve another value

[Maximum number: 4]

The diagram shows the speed-time graph for the first 180 seconds of a train journey.

Calculate the average speed of the train for the whole journey.

6.9375

M2 for area $=\frac{1}{2}\times(130+240)\times9$ oe
or M1 for one correct partial area
M1dep for their total area $\div240$

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