Question 265834
The speed of a passenger train = 260/(x+8)
The speed of the freight train = 220/x
260/(x+8) = 220/x
Multiply each side by (x+8)(x)
260(x) = 220(x+8)
260x = 220x + 1760
260x - 220x = 220x + 1760 - 220x
40x = 1760
Divide each side by 40 
x = 44
The speed of the passenger train is 52 mph and the speed of the freight train is 44 mph
check:
260/(44+8) = 220/44
260/52 = 220/44
5 = 5