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0580/31 Oct/Nov 2023, Question 5: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 8 marks

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The question, in short

Use the travel graph of two trains between Town, Port and Cove to read off times, a stop duration, a journey-time difference, a passing time, and find train A's average speed in km/h.

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

Part (a) · 1 mark

State the departure time of train B from Cove, read from the graph.

  1. 1Line B starts at Cove (23 km) at 14 10

Answer14 10

Part (b) · 1 mark

Find how long train A waits at Port, using the horizontal section of its line.

  1. 1Train A is flat at Port from 14 18 to 14 22
  2. 2Stop = 4 minutes

Answer4

Part (c) · 2 marks

Calculate how many minutes longer train A's full journey takes than train B's.

  1. 1Train A: 14 00 to 14 40 = 40 minutes
  2. 2Train B: 14 10 to 14 48 = 38 minutes
  3. 340 − 38 = 2 minutes

Answer2

Part (d) · 1 mark

State the time when the two trains meet, from where the lines cross.

  1. 1The lines cross at 14 25

Answer14 25

Part (e) · 3 marks

Calculate train A's average speed from Town to Cove in kilometres per hour, using 23 km and its journey time.

  1. 1Distance = 23 km, time = 40 minutes = 40/60 hours
  2. 2Speed = 23 ÷ 40 × 60 = 34.5 km/h

Answer34.5

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Also searched as: 0580/31/O/N/23 · 0580_w23_qp_31 · 0580 w23 31 · question 5.
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