Lemmara logoLemmaraWorked solution

0580/32 Feb/Mar 2021, Question 4: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 12 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Use a scale drawing of K and L with north arrows to locate J from two bearings, find the map scale, and complete a distance-time journey graph.

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

Part (a) · 2 marks

Mark point J on the map using bearing 036° from K and bearing 284° from L.

  1. 1From K draw a line on a bearing of 036° (36° clockwise from North)
  2. 2From L draw a line on a bearing of 284° (284° clockwise from North)
  3. 3J is where the two lines cross

AnswerJ marked in correct position

Part (bi) · 2 marks

Given the real distance KL is 9600 metres, complete the map scale in metres per cm.

  1. 1Measured distance KL = 12 cm
  2. 21 cm represents 9600 ÷ 12 = 800 metres

Answer800 (accept 787 to 814)

Part (bii) · 3 marks

Kendra walks K to L at 4.5 km/h, leaving at 10 15; work out her arrival time.

  1. 1Time = 9.6 ÷ 4.5 = 2.133… hours
  2. 20.133… × 60 = 8 minutes, so 2 h 8 min
  3. 310 15 + 2 h 8 min = 12 23

Answer12 23

Part (cia) · 1 mark

Walking 20 minutes at 4.5 km/h, work out the distance Kendra and Latika walk.

  1. 1Distance = 4.5 × 20/60 = 1.5 km

Answer1.5

Part (cib) · 2 marks

After walking 20 minutes, they run 6 km in 40 minutes; draw this part of the journey on the graph.

  1. 1Draw a ruled line from (15 00, 0) to (15 20, 1.5)
  2. 2Then 1.5 + 6 = 7.5 km at 15 20 + 40 min = 16 00
  3. 3Draw a ruled line from (15 20, 1.5) to (16 00, 7.5)

AnswerRuled lines (15 00, 0) to (15 20, 1.5) and (15 20, 1.5) to (16 00, 7.5)

Part (cii) · 2 marks

They leave the cinema at 18 05 and taxi home 7.5 km at 30 km/h; complete the travel graph.

  1. 1At the cinema until 18 05: horizontal line from (16 00, 7.5) to (18 05, 7.5)
  2. 2Taxi time = 7.5 ÷ 30 = 0.25 h = 15 min, so home at 18 20
  3. 3Draw a ruled line from (18 05, 7.5) to (18 20, 0)

AnswerRuled lines (16 00, 7.5) to (18 05, 7.5) and (18 05, 7.5) to (18 20, 0)

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: 0580/32/F/M/21 · 0580_m21_qp_32 · 0580 m21 32 · question 4.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.