Mathematics 0580 · IGCSE · Rates

Rates — practice question

Brad made the trip from his home in New York to Chamonix. • He set off from home at 16 30 and went by taxi to the airport in New York. This part of the journey lasted 55 minutes and the average speed was $18\,\text{km/h}$. • He then flew from New York to Geneva, leaving New York at 22 15. The flight path may be treated as an arc of a circle with radius $6400\,\text{km}$ and a sector angle of $55.5^{\circ}$. Geneva’s local time is 6 hours ahead of New York’s local time. Brad reached Geneva at 11 25 the next day. • To finish the journey, Brad went by bus from Geneva to Chamonix. This section began at 13 00 and took 1 hour 36 minutes. The average speed was $65\,\text{km/h}$. Chamonix has the same local time as Geneva.
(main)[11]

Find the overall average speed of Brad’s journey from his home in New York to Chamonix. Show the steps in your working and give your answer in km/h.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Overall time = 16.1 h

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