Question

the speed of train A is 14 mph slower than the speed of train B. Train A travels 210 miles in the time it takes train B to travel 280 miles. Find the speed of each train.

Answer 1

Va = Vb - 14
Va = 210/t
Vb = 280/t

Answer 2

Vb - 14 = 210/t
Vb = 280/t

Answer 3

280/t - 14 = 210/t

Answer 4

multiply everything by t:
280 - 14t = 210
-14t = 210 - 280
-14t = -70
t = -70 / -14 = 5

Answer 5

Velocity, or speed of Train A:
Va = 210 / 5 = 42mph
Train B:
Vb = 280 / 5 = 56mph

Answer 6

thanks for the help.

Answer 7

A Mathematic solution with comments is attached.