Question 1091655
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Let D be the distance under the question (from home to work), in miles.


Then your governing equation is THIS:

{{{D/55 - D/(55+22)}}} = {{{17/60}}}.     (1)


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

{{{D/(55+22)}}} miles per minutes is the average speed Caitlyn drove on the way home.

{{{D/55}}}      miles per minutes is the average speed Caitlyn drove on the way to work.

{{{17/60}}}     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 = {{{71995/1320}}} = 54.54 miles.


<U>Answer</U>.  54.54 miles approximately.
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