The passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of passenger train, if the passenger train overtakes the freight train in three hours.
+128474 Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight ttrain has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
