the speed of train A is 14 mph slower than train B. Train A travels 190 miles in the same time it takes train B to travel 260 miles. What is the speed of each train?

Answer 1

V mi/h = Speed of B.
(V-14) = Speed of A.

Eq1: V*T = 260 = Dist. of B.
T = 260/V.

Eq2: (V-14)T = 190 = Dist. of A.
In Eq2, replace T with 260/V:
(V-14)260/V = 190.
Multiply both sides by V:
(V-14)260 = 190V
260V - 3640 = 190V
260V-190V = 3640
70V = 3640
V = 52 mi/h
(V-14) = 38 mi/h.