Lemmara logoLemmaraWorked solution

0580/31 May/Jun 2022, Question 3: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 12 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Work through a coach holiday scenario involving ticket costs, a meal with service charge, temperature change, spending fractions, passenger counts and coach travel time.

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

Part (a) · 2 marks

Find the total ticket cost for two adults at $375 each and three children at $194 each.

  1. 12 × 375 + 3 × 194 = 750 + 582
  2. 2= $1332

Answer1332

Part (b) · 2 marks

Calculate the total cost of a $110 meal after adding an 18% service charge.

  1. 1Total = 110 × (1 + 18/100) = 110 × 1.18
  2. 2= $129.80

Answer129.80

Part (c) · 1 mark

Find the midnight temperature when it starts at 16 °C and falls by 23 °C.

  1. 116 − 23 = −7 °C

Answer−7

Part (d) · 1 mark

Find how much of $768 is spent on presents, given the fraction 3/8.

  1. 13/8 × 768 = 3 × 96
  2. 2= $288

Answer288

Part (ei) · 2 marks

Work out how many 46-passenger coaches are needed for 604 passengers.

  1. 1604 ÷ 46 = 13.1…
  2. 213 coaches are not enough, so 14 coaches are needed

Answer14

Part (eii) · 1 mark

Find the percentage of the 604 passengers who are women, given 268 are women.

  1. 1268/604 × 100 = 44.37… ≈ 44.4%

Answer44.4 or 44.37…

Part (f) · 3 marks

Find the time in hours and minutes for a coach at 54 km/h to travel 126 km.

  1. 1Time = 126 ÷ 54 = 2.333… h
  2. 20.333… h = 0.333… × 60 = 20 min
  3. 3= 2 h 20 min

Answer2 h 20 min

Stuck on a step? Read the free lesson: Speed, Distance and Time

Practise more speed, distance and time 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 speed, distance and time

Also searched as: 0580/31/M/J/22 · 0580_s22_qp_31 · 0580 s22 31 · question 3.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.