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0580/43 May/Jun 2022, Question 1: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 9 marks

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The question, in short

Using a bus timetable between Abbots and Centre Point, find an arrival time, a total journey time, an average speed, and total ticket cost for 56 passengers.

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

Part (a) · 1 mark

Rashid boards the 09 20 bus at Abbots; find the time it reaches South Moor.

  1. 1The 09 20 bus from Abbots reaches South Moor at 10 07

Answer10 07

Part (b) · 2 marks

Annisa leaves at 8.27 am, walks 25 minutes to Callet, then takes the next bus; find total journey time in minutes to Centre Point.

  1. 1She reaches Callet at 08 27 + 25 min = 08 52, after the 08 47 bus
  2. 2Next bus leaves Callet at 09 42 and arrives at Centre Point at 10 30
  3. 308 27 to 10 30 = 2 h 3 min = 123 minutes

Answer123

Part (c) · 2 marks

The Abbots to Centre Point distance is 29.4 km; calculate the bus average speed in kilometres per hour.

  1. 1Journey time = 06 50 to 08 00 = 70 min
  2. 2Speed = 29.4 ÷ 70 × 60 = 25.2 km/h

Answer25.2, 25 1/5

Part (d) · 4 marks

All 56 seats filled, adults to children 5 : 3, adult ticket $2.80, child ticket 3/4 of adult; work out total ticket cost.

  1. 156 ÷ (5 + 3) = 7: adults = 5 × 7 = 35, children = 3 × 7 = 21
  2. 2Child ticket = 3/4 × 2.80 = $2.10
  3. 3Total = 35 × 2.80 + 21 × 2.10 = 98 + 44.10 = $142.10

Answer$142.10

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Also searched as: 0580/43/M/J/22 · 0580_s22_qp_43 · 0580 s22 43 · question 1.
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