SOLUTION: Hi, I can't find answer to this question. "A freight train leaves a station travelling at 30 mph. A passenger train leaves 1 hours later travelling at 50 mph. At what time wil

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Question 1048750: Hi,
I can't find answer to this question.
"A freight train leaves a station travelling at 30 mph. A passenger train leaves 1 hours later travelling at 50 mph. At what time will the passenger train overtake the freight train? "
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A freight train leaves a station travelling at 30 mph. A passenger train leaves 1 hours later travelling at 50 mph.
At what time will the passenger train overtake the freight train?
:
When the pass train overtakes the freight, they will have traveled the same distance
let t = traveling time of the freight
then
(t-1) = traveling time of the pass train
:
Write a distance equation, dist = speed * time
:
Pass train dist = freight dist
50(t-1) = 30t
50t - 50 = 30t
50t - 30t = 50
20t = 50
t = 50/20
t = 2.5 hrs from the time the freight leaves
:
:
Check this, find the actual distance
30 * 2.5 = 75 mi
50 * 1.5 = 75 mi