One day in October at 9am, Sam began hiking an 8-mile trail, hiking for 2.5 hours at a pace of 2 miles per hour, and then stopping for half an hour to enjoy the view and have a snack. Sam then hiked the remainder of the trail at 3 miles per hour. Meanwhile, Jaden decided to run the same trail. Jaden began 1.5 hours after Sam began hiking, and ran at a rate of 7 miles per hour.
(a) Draw a graph with time (in hours since Sam began) on the horizontal axis and distance (in miles) on the vertical axis.
(b) According to your graph, does Jaden catch up with Sam on the trail? If so, is it before, during, or after Sam’s snack break?
(c) What time did Sam reach the end of the trail?