0580/31 Oct/Nov 2024, Question 9: Distance-Time Graphs
Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 6 marks
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The question, in short
Samir leaves home at 2 pm, jogs 6 km at 8 km/h, rests 1 hour, then walks home arriving at 4.36 pm. Draw his travel graph and find his average speed for the whole journey.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 3 marks
On the grid with time from 2 pm to 5 pm and distance 0 to 8 km, draw the travel graph showing the whole journey, including the café at 6 km.
- 1Time to café = 6 ÷ 8 = 0.75 h = 45 min: line from (2 pm, 0) to (2 45, 6)
- 2Rest 1 hour: horizontal line from (2 45, 6) to (3 45, 6)
- 3Walk home: line from (3 45, 6) to (4 36, 0)
AnswerThree correct ruled lines
Part (b) · 3 marks
Calculate Samir's average speed for the entire journey from leaving home to returning.
- 1Total distance = 6 + 6 = 12 km
- 2Total time = 2 pm to 4.36 pm = 156 min
- 3Average speed = 12 ÷ 156 × 60
- 4= 4.615… ≈ 4.62 km/h
Answer4.62 or 4.615…
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