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