The Barkley Marathon is held each year, and covers over 100 miles of rough terrain in Tennessee. It is arguably the toughest race in the world. Just 14 of about 1,000 entrants in the past 28 years...

The Barkley Marathon is held each year, and covers over 100 miles of rough terrain in Tennessee. It is arguably the toughest race in the world. Just 14 of about 1,000 entrants in the past 28 years have managed to complete the course within the 60 hour cut-off. This race was inspired by a jail-break, in which a man ran for 55 hours after breaking out of the Brushy Mountain State Penitentiary, but was recaptured after being tracked down by bloodhounds approximately 8.5 miles from the prison. The escapee claimed to have run over 100 miles. While there is a single start area (the prison), the finish line is anywhere along a county road 234; and there are numerous poorly marked paths in the forest, forcing entrants to fight their way through thick, prickly bushes, and temperatures can flit wildly from freezing to scorching hot on the same day. Thus all the runners (who finish) end up at different locations along the finish line. Along the way, to prove runners have indeed completed the requisite 100 miles, they must find at least 5 tents with water, which have been planted on the course and along the finish line. At each tent the racer must have their race card stamped. The cards you will be working with are from 8 of the 14 runners who completed the race. Part A Open your initial 8 race cards. Organize the following eight race cards into distinct groups in order to retrace the route the runners took. 1. Draw a Venn diagram of the runner based on the stamps they have in common. 2. Construct a map of the route you believe the runners took based on their race cards. For the exercise, there are a few rules: • Assume that runners always take the shortest path between stamp locations (a straight line). • Once the path of two or more runners branched off from other runners they do not reunite. • Stamps are located along straightaways between the splits in paths of the runners. • No two runners finished at the same place along the finish line. Part B Answer the the following questions here in this quiz (you will revisit them in Part 2): 1. Explain the process by which you created your map (hypothesis) of the runners' routes. Be sure to state any assumption you made. 2. Who was the first runner to split off from the rest and forge his or her own path? How did you come to that conclusion? 3. Which runners stay together the longest? How did you come to that conclusion? 4. What stamp(s) were the closest to the start line? How did you come to that conclusion? 5. What stamp(s) were the farthest to the start line? How did you come to that conclusion? 6. What stamp(s) were the least informative to the making of your map? What stamps were the most informative? Explain.