Question

Julie recently drove to visit her parents who live 200200 miles away. On her way there her average speed was 99 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 1010 hours driving, find the two rates.

Answer 1

Note: All dimensions in Miles and hours

Let speed on the way home
speed on the way to visit her parents (9 miles per hour faster)

Let miles be the distance between home and her parents
be time on visit to her parents and on way back home respectively

Travel time=distance/speed
Time traveled on the way to visit her parents-

Time traveled on the way back home-

It is given that total time take is hours
So it implies


(9 miles per hour faster)










Now from quadratic formula-







Velocity here can not be negative as directon is fixed-

miles per hour

Now it is given Velocity on the way to her perents is miles per hour more


miles per hour

So the velocities are-
in miles per hour