SOLUTION: A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does e
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Question 151989: A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/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?
:
Let t = freight train time
then
(t-1.5) = Passenger train time
;
Write a distance equation: Dist = speed * time
:
Pass dist = Freight dist
60(t-1.5) = 40t
60t - 90 = 40t
60t - 40t = 90
20t = 90
t =
t = 4.5 hrs for freight
and
4.5 - 15 = 3 hr for the passenger train
:
Check solution by confirming the dist on both trains
40 * 4.5 = 180 mi
60 * 3 = 180 mi
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