Let D be the distance under the question (from home to work), in miles.


Then your governing equation is THIS:

 = .     (1)


Here  55+22 = 77 minutes  is the Caitlyn' time on the way home.

 miles per minutes is the average speed Caitlyn drove on the way home.

      miles per minutes is the average speed Caitlyn drove on the way to work.

     is the given speed difference in miles per minute.


All you need to do is to solve the equation (1).


Your first step is to multiply both sides by 77*55*60. Then you will get

77*60*D - 55*60*D = 17*77*55,   or

1320*D = 71995  ====>  D =  = 54.54 miles.


Answer.  54.54 miles approximately.