Question 1169580
.
<pre>

The ratio of rates is  {{{5/3}}};  hence, the ratio of times is  {{{3/5}}}.


It means that if the time going to the mountains is 3x hours, then the time returning is 5x hours.



We are given that  5x - 3x = 3 hours;  hence,  2x = 3,  x= 3/2  hours  and


the time driving home is  {{{5*(3/2)}}} = {{{15/2}}} = 7.5 hours = 7 hours and 30 minutes.    <U>ANSWER</U>
</pre>

Solved.


------------


Again, &nbsp;I solved it without using matrices, &nbsp;since I think that that request is &nbsp;INADEQUATE.