River Trail Problem Becky likes to canoe and hike. There is a new trail that spans 30 kilometers along a nearby river for people to enjoy. Becky wants to canoe down the river along the trail. Becky looked up information about the trail so she would know where she was as she paddled down the river. She learned that the trail has the following features:
• city parks at the halfway point and at the end of the trail • campsites every 1/3 of the trail • inner tube rental stations every 1/4 of the trail • shuttle bus stops every 1/5 of the trail • picnic areas every 1/6 of the trail • water and bathroom rest areas every 1/12 of the trail • kilometer markers every 1/15 of the trail
1 Create a poster to show the following landmarks along the trail. Create a symbol for each feature and include it in a key on your poster. Label both the fractional amount of the trail and the kilometers.
• city parks • campsites • inner tube rental stations
2 One day while canoeing down the river, Becky noticed a jogger on the trail at one of the water and bathroom rest areas. He called out to her and asked, “Do you know how far I've come from the start of the trail?” Becky knows she has already passed the second picnic area and is at the rest area right after that. Mark your poster to help solve these problems. a How many kilometers from the beginning of the trail is the jogger? b What fractional amount of the trail is he from the beginning? 3 During the first week, Becky canoed down 5/12 of the section of river before she got out. During the second week, she made it 9/15 of the trail length. How much farther did she go the second week? Write your answer both in kilometers and as a fraction of the trail. Use the information on your poster to help solve this problem.