5. LOST IN PURSUIT OF PEANUTS On the fifth day, after the peanuts were all gone, Ed and Judy took a hike to the store to get some more peanuts. On the way back, they got lost in the middle of a big forest. The forested area they were in measured roughly 13 miles from north to south and 14 miles from east to west. When they first discovered they were lost, they were at a point that was 7 miles from the southern border and 7 miles from the eastern border of the forest. (Of course, they didn't know this or they wouldn't have been lost.) In their indecision as to whether they should walk east (toward the morning sun), west (toward the setting sun), south (from which they came), or north (because they might be wrong about the direction from which they came), they decided to walk in all four directions. They devised a plan where they would walk north first for 30 minutes. If they weren't out of the forest yet, they would then turn right and walk east for 60 minutes, then turn right again and walk south for 90 minutes, and so on, adding 30 minutes with each change of direction. (Nobody said this was a good plan.) It turns out that in the forested area, they covered about 1 mile every 30 minutes. On which side of the forest-north, east, south, or west- did they finally emerge, and how long did it take from the moment they were lost until the moment they got out?
