Question 538840: a freight train left pennsylvania station traveling at 35mph. two hours later, a highspeed train left pennsylvania station on parallel tracks traveling 55mph. In how many hours after the slow train starts will the two trains meet?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! a freight train left pennsylvania station traveling at 35mph. two hours later, a highspeed train left pennsylvania station on parallel tracks traveling 55mph.
In how many hours after the slow train starts will the two trains meet?
:
Let t = travel time of the freight
then
(t-2) = travel time of fast train
:
When the fast train catches the freight, they will have traveled the same distance
Write a dist equation, dist = speed * time
:
fast dist = slow dist
55(t-2) = 35t
55t - 110 = 35t
55t - 35t = 110
20t = 110
t = 110/20
t = 5.5 hrs for the freight to be caught
:
:
Check this by finding the distance of each, should be the same
35*5.5 = 192.5 mi
55*3.5 = 192.5
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