SOLUTION: A freight train traveling at an average rate of 30 kilometers per hour is followed 2 hours later from the same station by a passenger train traveling at an average rate of 50 kilom
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Question 563971: A freight train traveling at an average rate of 30 kilometers per hour is followed 2 hours later from the same station by a passenger train traveling at an average rate of 50 kilometers per hour. How many hours after the passenger train leaves will it pass the freight train? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A freight train traveling at an average rate of 30 kilometers per hour is followed 2 hours later from the same station by a passenger train traveling at an average rate of 50 kilometers per hour.
How many hours after the passenger train leaves will it pass the freight train.
:
Let t = travel time of the pass train
then
(t+2) = travel time of the freight
:
When the pass train catches the freight, they will have traveled the same distance
Write a distance equation; dist = speed * time
:
pass dist = freight dist
50t = 30(t+2)
50t = 30t + 60
50t - 30t = 60
20t = 60
t = 60/20
t = 3 hrs for the pass train to catch freight
:
:
see if that checks out both should travel the same dist
50(3) = 30(3+2)
150 = 150
