Question

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the distance in 4.5 h. Car B traveled 5 mph slower than Car A.

How fast did Car B travel?

Answer 1

x-5=speed of car B
x = speed of car A

Distance = speed times time
distances is equal so
(x-5)(4.5)=(x)(4)
4.5x-22.5=4x
multiply both sides by 2 to get rid of the decimals
9x-45=8x
subtract 8x from both sides
x-45=0 a
add 45 to both sides and get
x=45
speed of car A = 45 mph
Speed of car B = 45-5 or 40 mph
Speed of car B = 40 mph