SOLUTION: A train leaves New Orleans at 6:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 54mph faster than the first. If the second

Question 1100135: A train leaves New Orleans at 6:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 54mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
first train is going x mph
second is going x+54 mph
By 10 pm, the first train has gone x mph*4 hours=4x miles
the second train has gone (x+54)*2 hours=2x+108 miles
Those two are equal
4x=2x+108
2x=108
x=54 mph
x+54=108 mph
In two hours, second train goes 216 miles
first train goes 216 miles.
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