Mathematics 0580 · IGCSE · Equations

Equations — practice question

Martha covers 10 km by walking at a speed of x km/h. She then covers 5 km by running at a speed of (x+4) km/h. The journey in total lasts 3.5 hours.
(a)[1]

Write down an expression in terms of x for the time Martha spends walking.

(b)[4]

Show that $7x^2-2x-80=0$.

(c)[3]

Solve $7x^2-2x-80=0$, giving your answers correct to 2 decimal places. Show all your working.

(d)[3]

Calculate the difference between Martha’s walking time and her running time. Give your answer in hours and minutes to the nearest minute.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: \( \frac{10}{x} \)

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