Distance story problem

Question

Two trains leave towns 860 miles apart at the same time and travel toward each other. One train travels 22 mi/h slower than the other. If they meet in 5 hours, what is the rate of each train?

Answer 1

F= 22+S

(F+S)5 = 860

(22+S +S) = 860/5

2S = 172-22

S = 150/2 = 75 mph = Slower Train's speed

F = 30+22 = 97 mph = Faster Train's speed

(97+75)(5) = 860

172(5) = 860

speed times time = distance

(of course, after "meeting" coming at each other at those speeds, their speeds drop to zero each, as they destroy and derail each other. Or if not, then at best, the faster train drops to 11 mph and the slower to negative 11 mph as the faster pushes the slower down the rails, still with a 22 mph difference.)