Question 24 — IGCSE 0580 Oct/Nov 2025 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Algebra · Basic algebra. Worth 11 marks.
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Question text
24 Martha walks a distance of 10 km at a speed of x km/h.
She then runs a distance of 5 km at a speed of (x+4) km/h.
The total time taken for the whole journey is 3.5 hours.
(a) Write down an expression in terms of x for the time Martha is walking.
............................................... h [1]
(b) Show that 7x2-2x-80 = 0.
[4]
(c) Solve 7x2-2x-80 = 0, giving your answers correct to 2 decimal places.
Y ou must show all your working.
x = .................. or x = .................. [3]
(d) Calculate the difference between the time Martha is walking and the time she is running.
Give your answer in hours and minutes correct to the nearest minute.
.................... h ................. min [3]
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