2025 IGCSE 0580 May/June P42 Q24

2025 IGCSE 0580 May/June P42 Q24

8 marks

Ahmed walks \(2\text{ km}\) at a speed of \(x\text{ km/h}\).

He then walks a further \(3\text{ km}\) at a speed of \((x+1)\text{ km/h}\).

The total time he takes to walk the \(5\text{ km}\) is \(1\dfrac14\) hours.

  1. Show that \(5x^2-15x-8=0\).[5]
  2. Find the value of \(x\).
    Show all your working and give your answer correct to 2 decimal places.[3]

Solution:

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Answer:(a) \(5x^2-15x-8=0\) (shown). (b) \(x=3.46\).

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