4MA1/1F Jan 2021, Question 19: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks
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The question, in short
Work out when the container is fully emptied, given the prism dimensions, a constant pumping rate, and that the level falls 20 cm between 10 30 and 12 00.
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Solution · 4 marks
- 1Water pumped out between 10 30 and 12 00 = 30 × 20 × 125 = 75 000 cm³
- 2Rate of pumping = 75 000 ÷ 1.5 = 50 000 cm³ per hour
- 3Water still in the container at 12 00 = 85 × 40 × 125 = 425 000 cm³
- 4Time needed to pump this out = 425 000 ÷ 50 000 = 8.5 hours = 8 hours 30 minutes
- 512 00 + 8 hours 30 minutes = 20 30
Answer20 30
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