SOLUTION: A train leaves New York for Boston, 200 miles away, at 4:00 P.M. and averages 50 mph. Another train leaves Boston for New York on an adjacent set of tracks at 3:00 P.M. and average

Question 910866: A train leaves New York for Boston, 200 miles away, at 4:00 P.M. and averages 50 mph. Another train leaves Boston for New York on an adjacent set of tracks at 3:00 P.M. and averages 40 mph. At what time will the trains meet?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
50t = 40(t+1)
10t = 40
t = 4hr
8:00PM they will meet

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
They are not heading the same direction. If they were both going the same way they would meet in 4 hours
The train leaving Boston travels 40 miles before the NY train leaves for Boston
They will now merge after they have both travel a total of 160 miles.
40x+50x=160
90x=160
x=16/9
1:46:40
They will meet at 5:46:40 pm.
That is they will meet at 5:46 pm and 40 seconds.
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