A jungle and wildlife preserve extends 80 miles north and 120 miles east of the ranger station. The ranger leaves from a point 100 miles east of the station along the southern boundary to survey the
area. He travels 60 miles north and 50 miles west every hour. A lion leaves the west edge of the
preserve 51 miles north of the station at the same time the ranger leaves the station. Every hour the
lion moves 10 miles north and 30 miles east. Do the lion and the ranger meet?