Lemmara logoLemmaraWorked solution

0580/22 May/Jun 2022, Question 12: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 6 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Annette travels 70 km from Midville to Newtown, cycling 1 hour 30 minutes at 20 km/h, resting 30 minutes, then riding at 16 km/h. Use the distance–time grid to show the trip and work out overall average speed.

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

Part (a) · 3 marks

Plot the journey on the distance–time grid, showing each stage of motion and the rest.

  1. 1Stage 1: 20 × 1.5 = 30 km, so draw a line from (0, 0) to (1.5, 30)
  2. 2Stop: horizontal line from (1.5, 30) to (2, 30)
  3. 3Remaining 70 − 30 = 40 km at 16 km/h takes 40 ÷ 16 = 2.5 h
  4. 4Draw a line from (2, 30) to (4.5, 70)

Answercorrect graph

Part (b) · 3 marks

Work out the average speed over the entire 70 km journey.

  1. 1Time for last stage = (70 − 30) ÷ 16 = 2.5 h
  2. 2Total time = 1.5 + 0.5 + 2.5 = 4.5 h
  3. 3Average speed = 70 ÷ 4.5 = 15.55… ≈ 15.6 km/h

Answer15.6 or 15.55 to 15.56

Stuck on a step? Read the free lesson: Distance-Time Graphs

Practise more distance-time graphs questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on distance-time graphs

Also searched as: 0580/22/M/J/22 · 0580_s22_qp_22 · 0580 s22 22 · question 12.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.