SOLUTION: a train leaves a station at 1pm travelling at 40mph. Another train leaves the same station at 2pm travelling at 60mph. What time will it be when the two trains first meet?

Question 278495: a train leaves a station at 1pm travelling at 40mph. Another train leaves the same station at 2pm travelling at 60mph. What time will it be when the two trains first meet?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a train leaves a station at 1pm traveling at 40mph.
Another train leaves the same station at 2pm traveling at 60mph.
What time will it be when the two trains first meet?
:
Let t = travel time of the 60 mph train
then
(t+1) = travel time of the 50 mph train
:
When one train overtakes the other train, they will have traveled the same distance
:
Write a distance equation: dist = speed * time
60t = 50(t+1)
60t = 50t + 50
60t - 50t = 50
10t = 50
t = 5 hrs
:
2 PM + 5 hrs = 7 PM
:
:
Confirm solution by finding the distances
60(5) = 300
50(6) = 300 mi
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