Algebra 2 (Distance Problem)
posted by Peter .
A train leaves Union Station for Central Station, 216 km away, at 9 A.M. One hour later, a train leaves Central Station for Union Station. They meet at noon. If the second train had started at 9 A.M., and the first train at 10:30 A.M., they would still have met at noon. Find the speed of each train.

Let c be the speed of the train leaving Central
Let u be the speed of the train leaving Union
The total distance in either case is 216 km.
3u + 2c = 216
1.5c + 3u = 216
Solve these and you get
c=54
u=36