SOLUTION: A passenger train's speed is 60 miles per hour, and a freight train's speed is 40 miles per hour. The passenger train travels the same distance in 1.5h less time than the freight t

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Question 356088: A passenger train's speed is 60 miles per hour, and a freight train's speed is 40 miles per hour. The passenger train travels the same distance in 1.5h less time than the freight train. How long does each train take to make the trip.
On this problem I am clueless, our teacher did very little to explain this type of problem as our class was short on time.
Thank you for your assistance,
Devin Price

Found 2 solutions by scott8148, mananth:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
d = r * t ___ the distances are the same (equal)

(60)(t - 1.5) = (40)(t)

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
A passenger train's speed is 60 miles per hour, and a freight train's speed is 40 miles per hour. The passenger train travels the same distance in 1.5h less time than the freight train. How long does each train take to make the trip.
passenger train speed = 60 mph
freight train speed = 40 mph
..
let freight train take x hours
the passenger train will take x-1.5 hours
..
the distance they travel is the same
...
distance = speed * time
...
passenger train distance = 60*(x-1.5)
freight train distance = 40x
..
40x=60(x-1.5)
40x=60x-90
60x-40x=90
20x=90
/20
x=90/20
x=4.5
freight train 4.5 hours
passenger train 4.5-1.5 = 3 hours

...
m.ananth@hotmail.ca

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