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0580/11 May/Jun 2025, Question 10: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

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The question, in short

Using a travel graph of Ky's trip to a meeting and back, find the meeting distance, meeting duration, return time, and complete the graph for a 21 km/h outward ride.

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

Part (a) · 1 mark

State the distance in km between the office and the meeting place, read from the graph.

  1. 1The meeting is the horizontal line at 14 km: 14 km

Answer14

Part (b) · 1 mark

Work out how many minutes Ky spends at the meeting, using the flat section of the graph.

  1. 1At the meeting from 10 20 to 11 00
  2. 2= 40 minutes

Answer40

Part (c) · 1 mark

Give the clock time when Ky reaches the office again after the meeting.

  1. 1The line reaches 0 km at 11 50

Answer11:50

Part (d) · 2 marks

Add the outward journey to the graph, cycling at a steady 21 km/h from the office to the meeting.

  1. 1Time = 14 ÷ 21 = 2/3 h = 40 min
  2. 2He arrives at the meeting at 10 20, so leaves at 10 20 − 40 min = 09 40
  3. 3Rule a line from (09 40, 0) to (10 20, 14)

AnswerRuled line from (09 40, 0) to (10 20, 14)

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