SOLUTION: a passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. the passenger train travels the same distance in 1.5 h less time than the freight train. How long doe

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Question 158070This question is from textbook prentice hall mathematics algebra 1
: a passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. the passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?




This question is from textbook prentice hall mathematics algebra 1

Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!
h=amount of hours
mph(h)=distance

the passenger train travels the same distance (set equal to each other) in 1.5 h less time than the freight train.



Simplify each side by multiplying


Eliminate the denominators, since they are the same thing


Subtract 60h from both sides


Divide both sides by -20


Passenger train: (h-1.5)
Freight train: (h)

Plug in 4.5 for h

4.5-1.5=3.0
---------------------------------------------------------
Answer:

Passenger train= 3 hours
Freight train= 4.5 hours

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