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0580/31 May/Jun 2023, Question 8: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 9 marks

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The question, in short

Using a distance-time graph for Diego cycling to a pool, find his speed, his stay duration, and draw Javier's walk and both return journeys.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Calculate Diego's cycling speed in km/h from his home to the pool using the graph.

  1. 1Diego travels 6 km in 40 minutes
  2. 2Speed = 6 ÷ 40 × 60 = 9 km/h

Answer9

Part (bi) · 1 mark

Draw on the grid the horizontal line showing Diego staying at the swimming pool.

  1. 1Draw a horizontal ruled line at 6 km from (10 40, 6) to (12 20, 6)

AnswerRuled straight line from (10 40, 6) to (12 20, 6)

Part (bii) · 1 mark

Find how many hours and minutes Diego spends at the swimming pool.

  1. 112 20 − 10 40 = 1 h 40 min

Answer1 h 40 min

Part (c) · 3 marks

Draw Javier's journey: he leaves 15 minutes after Diego, walking 6 km/h from his home.

  1. 1Javier leaves at 10 00 + 15 min = 10 15, from 10 km
  2. 2He walks 10 − 6 = 4 km at 6 km/h: time = 4 ÷ 6 × 60 = 40 min
  3. 3He arrives at 10 15 + 40 min = 10 55
  4. 4Ruled line from (10 15, 10) to (10 55, 6)

AnswerRuled straight line from (10 15, 10) to (10 55, 6)

Part (d) · 2 marks

Complete the graph for both returning home at constant speeds, with Diego arriving 12 45 and Javier 5 minutes later.

  1. 1Diego: ruled line from (12 20, 6) to (12 45, 0)
  2. 2Javier arrives home at 12 45 + 5 min = 12 50
  3. 3Javier: ruled line from (12 20, 6) to (12 50, 10)

AnswerRuled straight line from (12 20, 6) to (12 45, 0) and ruled straight line from (12 20, 6) to (12 50, 10)

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Also searched as: 0580/31/M/J/23 · 0580_s23_qp_31 · 0580 s23 31 · question 8.
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