Algebra quick question

Question

A passenger train and a freight train leave cities 400 miles apart and travel toward each other. The passenger train is traveling 16 mph faster than the freight train. Find the speed of each train if they pass each other after 5 hours.

Answer 1

v = speed of freight train

v + 16 = speed of passenger train

At the time t=5 when they pass, they are at the same point, so

vt = 400 - (v + 16)t

t = 5

5v = 400 - 5(v + 16)

10v = 320

v = 32 mph

v + 16 = 48 mph

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