SOLUTION: a passenger train leaves a train station four hours after a train leaves the same station. The freight train is traveling ten mph slower than the passenger train. Find the rate of

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Question 404408: a passenger train leaves a train station four hours after a train leaves the same station. The freight train is traveling ten mph slower than the passenger train. Find the rate of the passenger train if the passenger train overtakes the fright train in 20 hours.
Answer by mananth(16946) About Me  (Show Source):
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a passenger train leaves a train station four hours after a train leaves the same station. The freight train is traveling ten mph slower than the passenger train. Find the rate of the passenger train if the passenger train overtakes the fright train in 20 hours.
..
Passenger train x mph
freight train x-10 mph
...
In fours hours freight train has traveled 4(x-10) hours
,..
Catch up distance = 4(x-10)
catch up speed = 10 mph
Time = distance / speed
4(x-10)/10= 20
4x-40=200
4x=240
x=60 mph.
Speed of passenger train = 60 mph