SOLUTION: It takes a passenger train 5hrs less time than it takes a freight train to make the trip from Ellettsville to Fairland. The passenger train averages 72km/h, while While freight tr

Question 598032: It takes a passenger train 5hrs less time than it takes a freight train to make the trip from Ellettsville to Fairland. The passenger train averages 72km/h, while While freight train averages 36km/h.
Find the distance from Ellettsville to Fairland.

Please help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It takes a passenger train 5hrs less time than it takes a freight train to make the trip from Ellettsville to Fairland.
The passenger train averages 72km/h, while freight train averages 36km/h.
Find the distance from Ellettsville to Fairland.
:
First find the times required
t = Pass train time
(t+5) = Freight time
:
Both trains went the same distance
Write a dist equation: dist = speed * time
72t = 36(t+5)
72t = 36t + 180
72t - 36t = 180
36t = 180
t = 5 hrs
:
Find the distance from E to F
5 * 72 = 360 mi
:
Check the distance, (freight time = 10 hrs)
10 * 36 = 360 mi
:

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