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4MA1/2F Nov 2021, Question 13: HCF and LCM

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks

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The question, in short

Trains to New Delhi leave every 40 minutes and to Mumbai every 48 minutes, both at 6 am. Find the next time trains to both destinations depart Agra simultaneously.

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

Solution · 3 marks

  1. 1List multiples of 40: 40, 80, 120, 160, 200, 240
  2. 2List multiples of 48: 48, 96, 144, 192, 240
  3. 3Find the first common multiple: 240 minutes
  4. 4Convert 240 minutes to hours: 240 ÷ 60 = 4 hours
  5. 54 hours after 6 am is 10:00 am

Answer10:00 am

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