IMC 2006 Q6
6. Harriet Hare and Turbo Tortoise want to cross the finish line together on their 12 mile woodland race. Turbo sets off at 8:15 am and trots at a constant speed of 4 mph. Given that Harriet runs at a constant speed of 8 mph, at what time should she set off?
- A 9:45 am
- B 10:15 am
- C 10:45 am
- D 11:15 am
- E 11:45 pm
Intermediate Mathematical Challenge 2006, Question 6. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A 9:45 am
Turbo will take 3 hours to complete the 12 miles, whilst Harriet will take 1 hour 30 minutes. So Harriet should set off 1 hour 30 minutes after Turbo, that is at 9:45 am.
Solution © UK Mathematics Trust, from the IMC 2006 solutions.