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0580/33 May/Jun 2026, Question 15: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 6 marks

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The question, in short

Using a travel graph of Tom's 50 km drive from Alton to Newtown between 08 00 and 11 00, find his journey time and average speed, then handle Mei's trip.

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

Part (a) · 2 marks

Use the graph to determine the time Tom takes to travel from Alton to Newtown, giving the answer in hours.

  1. 1Tom reaches Newtown (50 km) at 10 54
  2. 2Time = 2 hours 54 minutes
  3. 354 ÷ 60 = 0.9
  4. 4= 2.9 hours

Answer2.9

Part (b) · 2 marks

Calculate Tom's average speed in km/h for the whole journey from Alton to Newtown.

  1. 1Speed = distance ÷ time
  2. 2= 50 ÷ 2.9
  3. 3= 17.24… ≈ 17.2 km/h

Answer17.2 or 17.24…

Part (ci) · 1 mark

Draw a straight line on the travel graph representing Mei's journey from Alton at 08 30 at 40 km/h.

  1. 1Time to travel 50 km = 50 ÷ 40 = 1.25 h = 1 h 15 min
  2. 2Arrives at 08 30 + 1 h 15 min = 09 45
  3. 3Rule a straight line from (08 30, 0) to (09 45, 50)

AnswerStraight line from (08 30, 0) to (09 45, 50)

Part (cii) · 1 mark

Use the graph to find how far apart Tom and Mei are at 09 00.

  1. 1At 09 00 Tom is 27 km from Alton
  2. 2Mei has travelled 40 × 0.5 = 20 km
  3. 327 − 20 = 7 km

Answer7

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