SOLUTION: A passenger train leaves a train depot three hours after a freight train leaves the same depot.The freight train is traveling 8 mph slower than the passenger train. Find the rate

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Question 416109: A passenger train leaves a train depot three hours after a freight train leaves the same depot.The freight train is traveling 8 mph slower than the passenger train.
Find the rate of the passenger train if the passenger train overtakes the freight train after 14.25h

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Freight train = x mph
passenger train = x+8 mph
...
time to overtake ==14.25 h
catch up distance = 3x
catch up speed = 8 mph
catch up time = 14.25 h
3x/8 = 14.25
3x=114
/3
x=38 mph speed of freight train
Passenger train speed = 38+8 = 46 mph