The document discusses a marathon where a runner can either run at 8 miles per hour or walk at 4 miles per hour. It provides an equation that relates the time spent running and walking to the total distance of 26.2 miles. The equation is graphed and possible running and walking times that equal the total distance are identified. Finally, it calculates that if 1 hour is spent walking, the remaining time spent running would be 2 hours and 46.5 minutes.

1. MARATHON In Exercises 64–66, you are running in a marathon. You
either run 8 miles per hour or walk 4 miles per hour.
64. Write an equation to show the relationship between time run and time walked
during the 26.2-mile course.
65. Graph the equation from Exercise 64. What are some possible running and
walking times if you complete the 26.2-mile course?
66. If you walk for a total of 1 hour during the course, how long will you have
spent running when you cross the finish line of the marathon?
Solution
For 64, let x - mile you run per hour and let y be miles be walk per hour 8x + 4y = 26.2 For 65 I
cannot show you the graph, but I can give you three or four points and you can graph it: Points
on the graph of the line above: (0, 6.55) (3.275, 0) (2, 2.55) (2.275 ,2) For 66, plug the one in the
equation in 64: 8x + 4(1) = 26.2 8x + 4 = 26.2 8x = 22.2 x = 2.775 = 2 hours and 46.5 so total
time = 1 + 2h 46.5 min = 3hrs 46.5 minutes. Hope this helps!