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4MA1/1F Jan 2019, Question 6: Speed, Distance and Time

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Convert a given evening time to the 24-hour clock, find the duration of an overnight train journey in hours and minutes, and calculate average speed from 327 km in 5 hours 30 minutes.

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

Part (a) · 1 mark

Express 9:30 pm using the 24-hour clock.

  1. 19:30 pm means 9 hours and 30 minutes after 12 noon.
  2. 212:00 + 9 hours 30 minutes = 21:30

Answer21:30

Part (b) · 2 marks

Find the time from 10:30 pm to 7:50 am the next day, in hours and minutes.

  1. 1From 10:30 pm to midnight is 1 hour 30 minutes.
  2. 2From midnight to 7:50 am is 7 hours 50 minutes.
  3. 3Total time = 1 hour 30 minutes + 7 hours 50 minutes = 8 hours 80 minutes.
  4. 480 minutes = 1 hour 20 minutes, so total = 8 hours + 1 hour 20 minutes = 9 hours 20 minutes.

Answer9 hours 20 minutes or 9:20

Part (c) · 3 marks

Calculate average speed for 327 km in 5 hours 30 minutes, to the nearest whole km/h.

  1. 1Time = 5 hours 30 minutes = 5.5 hours.
  2. 2Distance = 327 km.
  3. 3Average speed = distance ÷ time = 327 ÷ 5.5.
  4. 4327 ÷ 5.5 = 59.4545...
  5. 5Rounded to the nearest whole number = 59

Answer59 km/h

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