The speed of a passenger train is 12 mph faster than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.

p = f + 12

p = 290/t

f = 230/t

f + 12 = 290/t 

230/t + 12 = 290/t

12 = 60/t

12t = 60

t = 5

f = 230/5 = 46

p = 290/5 = 58