SOLUTION: A passenger train travels at 55mph and a freight train travels at 40mph. It takes the passenger train 3 hours less time to cover the same distance as the freight train. How long do

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Question 911318: A passenger train travels at 55mph and a freight train travels at 40mph. It takes the passenger train 3 hours less time to cover the same distance as the freight train. How long does it take each train to make the trip
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t is time for freight train.
d is distance of the trip.

_______________rate__________time___________distance
Passenger______55____________t-3_____________d=55(t-3)
Freight________40____________t_______________d=40t

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
55*t=40*(t+3)
55*t=40*t+120
55*t=40*t+120
-120=40+55*t
-120=-15*t
(-120)/(-15);=t
t=8 hours
t+3=11 hours
distance =55*8=440 miles
distance =40*11=440 miles
coderrdft