SOLUTION: A passenger trains speed is 60me/h and a freight train's speed is 40mi/h. The passenger train traels the same distance in 1.5 h less time than the freight train. How long does eac

Question 349457: A passenger trains speed is 60me/h and a freight train's speed is 40mi/h. The passenger train traels 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 trains speed is 60me/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 = time for the freight
then
(t-1.5) = time for the pass train to go the same distance
:
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 the freight
then
4.5 - 1.5 = 3 hrs for the pass
:
:
Confirm solution by finding the distances
3 * 60 = 180 mi
4.5*40 = 180 mi
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