Erin, Katelyn, and Jessica were the three representatives for Handley. Erin finished the race in the middle position, Katelyn finished after Erin in 19th position, and Jessica finished 28th.
How many schools took part in the race?As Erin finished in middle position we know that there must be an odd number of runners in the race, but because there are three girls representing each school, the number of runners must be an odd multiple of three.
In addition, we know that Jessica, who finished 28th, was not last, as there is an odd number of runners. So there must be at least 29 runners.
If there were 33 runners, the middle position would be 17th.
If there were 39 runners, the middle position would be 20th.
Hence there must have been 33 runners in the race and we deduce that eleven schools must have taken part.
1. Walt Arrison | Philadelphia, Pennsylvania |
2. Britney White | Columbus, Georgia |
3. John Funk | Ventura, California |
4. Jeffrey Gaither | University of Virginia Charlottesville, Virginia |
5. Rickard Jansson | Tullängskolan, Örebro, Sweden |
6. Tom Robb | Winchester, Virginia |
7. Chris Rogers | Winchester, Virginia |
8. Misty Carlisle | Cornell University Ithaca, New York |
9. David and Judy Dixon | Bennettsville, South Carolina |
10. Charles Washington | Winchester, Virginia |
11. William Proffitt | Winchester, Virginia |
12. Erin Fennacy | Fresno, California |
13. Malin Fredriksson | Tullängsskolan, Örebro, Sweden |
14. Chris Jansson | Tullängsskolan, Örebro, Sweden |
15. Zaza Carlzon | Tullangen, Örebro, Sweden |
16. Gusti Oggenfuss | Centre de Rencontre Montet (Broye), Switzerland |
17. Wictoria Widén | Tullängsskolan, Örebro, Sweden |
18. Richard Johnson | La Jolla, California |
19. James Alarie | University of Michigan -- Flint Flint, Michigan |
20. Erika Skoglund | Tullangen, Örebro, Sweden |
21. Sagar Patel | Columbus, Georgia |
22. Tristan Collins | Virginia Tech Blacksburg, Virginia |
23. Lina Peippo | Tullängen, Örebro, Sweden |
24. Bobby Arthur | Winchester, Virginia |
25. Marielle Clerissy | Tullängen, Örebro, Sweden |
26. Johan Honk-Walensjo | Tullängen, Örebro, Sweden |
27. Jim Arrison | Norristown, Pennsylvania |
28. Rachel Pridgen | ---------- |
29. Austin Ball | Columbus, Georgia |
30. Joakim Olsson | Tullängsskolan, Örebro, Sweden |
31. Mattias Tyresgård | Tullängsskolan, Örebro, Sweden |
32. Krille Jansson | Tullängsskolan, Örebro, Sweden |
33. Gabrielle Groth | Tullängsskolan, Örebro, Sweden |
34. Magdalena Axelsson | Tullängsskolan, Örebro, Sweden |
35. Keith Mealy | Cincinnati, Ohio |
36. Matt Ahrnsbrak | Winchester, Virginia |
37. Julianne Harris | Winchester, Virginia |