The speed of a passenger train is 20 mph faster than the speed of a freight train. The passenger train travels 250 miles in the same time it takes the freight train to travel 150 miles. find the speed of each train.

1 answer

V = slower train speed
V + 20 = faster train speed
T = number of hours required by both
V*T = 150
(V + 20)*T = 250

V*T + 20T = 250

20 T = 100
T = 5 hours
V = 150/T = 30 mph
faster train speed = V + 20 = 50 mph