Two cars traveled equal distances in different amounts of time. car a traveled the distance in 2 h, and car b traveled the distance in 1.5 h. car b traveled 15 mph faster than car a.

how fast did car b travel?

The answer is 60 mph.

The speed (v) is distance (d) per time (t): v = d/t

Car A:
v1 = ?
t1 = 2 h
d1 = ?
___
v1 = d1/t1
d1 = v1 * t1

Car B:
v2 = ?
t2 = 1.5 h
d2 = ?
___
v2 = d2/t2
d2 = v2 * t2

Two cars traveled equal distances:
d1 = d2
v1 * t1 = v2 * t2

Car B traveled 15 mph faster than Car A:
v2 = v1 + 15

v1 * t1 = v2 * t2
v2 = v1 + 15

v1 * 2 = (v1 + 15) * 1.5
2v1 = 1.5v1 + 22.5
2v1 - 1.5v1 = 22.5
0.5v1 = 22.5
v1 = 22.5/0.5
v1 = 45 mph

v2 = v1 + 15
v2 = 45 + 15
v2 = 60 mph