IMC 2014 Q14
14. This year the Tour de France starts in Leeds on 5 July. Last year, the total length of the Tour was 3404 km and the winner, Chris Froome, took a total time of 83 hours 56 minutes 40 seconds to cover this distance. Which of these is closest to his average speed over the whole event?
- A 32 km/h
- B 40 km/h
- C 48 km/h
- D 56 km/h
- E 64 km/h
Intermediate Mathematical Challenge 2014, Question 14. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B 40 km/h
Chris Froome's average speed ≈ \(\tfrac{3400}{84}\) km/h ≈ \(\tfrac{3400}{85}\) km/h = \(\tfrac{200}{5}\) km/h = 40 km/h.
Solution © UK Mathematics Trust, from the IMC 2014 solutions. Longer versions with investigations: Solutions and investigations (PDF).