0580/42 Oct/Nov 2025, Question 9: Area Under a Speed-Time Graph
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Using a speed-time graph, find the total distance travelled by the car over 25 minutes, with speed rising from 60 to 80 km/h then falling to 0.
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Solution · 3 marks
- 1Distance = area under the graph, with time in hours
- 2First 15 min: (60 + 80)/2 × 15/60 = 17.5 km
- 3Last 10 min: 1/2 × 80 × 10/60 = 6.666… km
- 4Total = 17.5 + 6.666… = 24.166… ≈ 24.2 km
Answer24.2 or 24.16 to 24.17
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