SOLUTION: a train leaves Orlando at 3:00 pm. a second train leaves the same city in the same direction at 8:00 pm. the second train travels 85 mph faster than the first. if the second train

Question 1054813: a train leaves Orlando at 3:00 pm. a second train leaves the same city in the same direction at 8:00 pm. the second train travels 85 mph faster than the first. if the second train overtakes the first at 11:00 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!
x is the speed of the first train, and xt=distance at t hours
(x+85) is the speed of the second train.
8x=3(x+85), since the first train has traveled for 8 hours by 11 p.m.
8x=3x+255
5x=255
x=51 mph
x+85=136 mph
From 3 to 11 is 8 hours or 408 miles at 51 mph
From 8 to 11 is 3 hours or 408 miles at 136 mph
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