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4024/22 May/Jun 2023, Question 6: Speed, Distance and Time

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 8 marks

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The question, in short

Given three distances in a challenge, work with their ratio, a start time from a walking speed, and a maximum possible cycling speed from rounded values.

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

Part (a) · 2 marks

Express the walk, cycle and swim distances as a ratio in simplest form.

  1. 16.3 km = 6300 m
  2. 26300 : 3000 : 1800
  3. 3÷ 300: 21 : 10 : 6

Answer21 : 10 : 6

Part (b) · 3 marks

Using her walking speed of 1.4 m/s and finishing time of 11 05, work out when she began walking.

  1. 1Time = 6300 ÷ 1.4 = 4500 seconds
  2. 24500 ÷ 60 = 75 minutes = 1 hour 15 minutes
  3. 311 05 − 1 hour 15 minutes = 09 50

Answer09 50

Part (c) · 3 marks

With 3000 m and 450 s each rounded to the nearest 10, find the greatest possible average cycling speed in m/s.

  1. 1Upper bound of distance = 3005 m
  2. 2Lower bound of time = 445 s
  3. 3Upper bound of speed = 3005 ÷ 445 = 6.752… ≈ 6.75 m/s

Answer6.75 or 6.752 to 6.753 or 6 67/89

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