SOLUTION: it takes a passenger train 5 hr less time than it takes a freight train to make the trip from hughesville to rockville. the passenger train averages 105km/h while the freight train

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Question 427989: it takes a passenger train 5 hr less time than it takes a freight train to make the trip from hughesville to rockville. the passenger train averages 105km/h while the freight train averages 70 km/h find the distance from rockville to hughesville.
Found 2 solutions by John10, mananth:
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Let h be the time
Passenger train: d = s*t = 105(h-5)
Freight train: d = s*t = 70h
The distance is the same: 105(h-5) = 70h
105h - 525 = 70h
35h = 525
h = 525/35
h = 15
Substitute h = 15 into either above distance equation to find the distance
Hope it will help you! John10

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the trip from hughesville to rockville. the passenger train averages 105km/h while the freight train averages 70 km/h find the distance from rockville to hughesville.
distance = x
time freight train = x/70
time passenger train = x/105
x/70-x/105 = 5
LCD = 7350
105x-70x= 7350*5
35x=36750
/35
x=36750/35
x= 1050 km