Question

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.

How fast did Car A travel?


_____mph

Answer 1

Car A traveled 55 miles per hour

Answer 2

Call x the distance traveled.

Velocity of car A, Va = x / 2.4

Velocity of car B, Vb = x / 4

Condition: Va - Vb = 22

x / 2.4 - x / 4 = 22

4x - 2.4x =22(4)(2.4)

1.6x = 211.2

x = 211.2 / 1.6

x = 132 miles.

Then Va = 132 / 2.4 = 55 mph and Vb = 132 /4 = 33mph

You can check: 55 mph - 33 mph = 22 mph

Answer: 55 mph