SOLUTION: A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second tra

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second tra      Log On


   

Question 1200192: A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph
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 josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED         TIME        DISTANCE

FirstTrain         r           6            d

SecondTrain       r+124        4            d


Both trains traveled same distance upon catch-up.
6r=4%28r%2B124%29
-
6r=4r%2B4%2A124
%286-4%29r=4%2A124
r=%284%28124%29%29%2F%286-4%29
r=248

First Train, 248 mph
Secon Train, 372