Question

Answer this question correctly and you'll get a good 13 points! Please help me! :) 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? How many MPH?

Answer 1

Time = Distance / Speed OR Distance = Time * Speed OR Speed = Time * Distance

Since both cars travelled the same distance; it is safe to have this formula to get the actual distance travelled.

Let X = distance in MPH

Car A = Car B
4 hours * X = 4.5 hrs * (X - 5MPH)
4X = 4.5(X-5)
4X = 4.5X - 22.50
4X - 4.5X = -22.50
-0.5X = -22.50
X = -22.50 / -0.5
X = 45 MPH

Speed of Car B = 4.5 hrs * (45-5)
= 202.50 - 22.50
Speed of Car B = 180 MPH

TO CHECK
Speed of Car A = 4hrs * 45 MPH
Speed of Car A = 180 MPH