Question 1151765
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<pre>

Let "d" be the distance to the resort.


Then the driving time of 8 hours is the sum of the driving time to there,  {{{d/30}}}  hours, and the driving time back,  {{{d/45}}}  hours:


    {{{d/30}}} + {{{d/45}}} = 8  hours.    (1)


It is your basic equation to find the unknown value "d".


To solve it, multiply both sides of the equation by 90.  You will get


    3d + 2d = 8*90

    5d      = 720

     d      = 720/5 = 144.


<U>ANSWER</U>.  One way distance is 144 miles.
</pre>

Solved.


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The solution is based on using the &nbsp;"time" &nbsp;equation &nbsp;(1).


Using &nbsp;"time" &nbsp;equation is the &nbsp;STANDARD &nbsp;method of solving such problems.


It is simple, &nbsp;logical, &nbsp;straightforward, &nbsp;economic and robust &nbsp;(works in standard way for any input data). 


Going in this way, &nbsp;you will never make a mistake - the logic of the method 
prevents you of making mistakes.


From this lesson, &nbsp;learn on how to write, &nbsp;how to use and how to solve a &nbsp;"time" &nbsp;equation.


To see many other similar solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Had-a-car-move-faster-it-would-arrive-quicker.lesson>Had a car move faster it would arrive sooner</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/How-far-do-you-live-from-school.lesson>How far do you live from school?</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Earthquake-waves.lesson>Earthquake waves</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Time-equation-HOW-TO-write-it-and-how-to-solve-it.lesson>Time equation: HOW TO use, HOW TO write and HOW TO solve it</A> 

in this site.



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As I do it in many other cases, I will ignore the notice from @greenestamps.


The method of discussion, which he uses, is well known trick.


It is called DEMAGOGY.