A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph 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?

Step-by-step explanation:

2nd train DATA:

time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles

1st train DATA:

time = 8 hrs ; rate ; x mph ; distance = 8x miles

Equation:

distance = distance

8x = 2x+240

6x = 240

x = 40 mph (speed of the 1st train)

x+120 = 160 mph (speed of the 2nd train)

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