Question 1020294
A train leaves Orlando at 2:00 PM.
 A second train leaves the same city in the same direction at 5:00 PM.
 The second train travels 54 mph faster than the first.
 If the second train overtakes the first at 8:00 PM, what is the speed of each of the two trains?
:
When one train overtakes the other, they will have traveled the same distance
:
let s = the speed of the first train
then
(s+54) = the speed of the 2nd train
:
From the information given we know. 
6 hrs is the travel time of the 1st train
3 hrs is the travel time of the 2nd train
:
Write a distance equation, dist = time * speed
6s = 3(s+54)
6s = 3s + 162
6s - 3s = 162
3s = 162
s = 162/3
s = 54 mph is the speed of the 1st train
then
54 + 54 = 108 mph is the speed of the 2nd train
:
;
Makes sense; the 2nd train takes half as long as the first train because it goes twice as fast.