Homeward Bound Activity

These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 Textbook into html format.

Class Activity: Homeward Bound

The rangers at an aid station receive a distress call from a group camping 60 miles east and 10 miles south of the station.

A jeep is sent to the campsite. It initially travels directly east for an unknown number of miles before turning and heading directly towards the campsite.

If the jeep traveled a total of 66 miles to reach the campsite, for how many miles did it initially travel due east?
The jeep stays 30 minutes at the campsite before the rangers decide that the campers need to immediately return to the aid station. How many miles will the jeep travel on the return trip if the rangers take a path directly to the aid station?
If the jeep traveled at an average of speed of 35 miles per hour, how much time did the entire rescue take? Express your answers in terms of hours and minutes.

Submit your solution with all necessary calculations and an accompanying well-labeled diagram.