Example 2 7. HIKING A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail. Start Finish a. The first rest area is

located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail? b. Anne claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Anne walked?