Question 1169368
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<pre>

Let "d" be one way distance (the unknown value under the problem's question).


Then you have this "time" equation


    {{{d/4}}} + {{{d/6}}} = 6 hours.


Notice that the addends in the left sides are the times traveling in each direction.


To solve the equation, multiply both sides by 12.  You will get


    3d + 2d = 6*12

      5d    = 72

       d    = 72/5 = 14.4 miles.


<U>CHECK</U>.  {{{14.4/4}}} + {{{14.4/6}}} = 3.6 + 2.4 = 6 hours.   ! Correct !
</pre>

Solved.


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Using time equation is a standard (but not a unique) way solving such problems.


It is simple, &nbsp;logical, &nbsp;straightforward, &nbsp;economic and robust &nbsp;(work 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

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&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.


To see many other similar solved problems from an archive of this forum, &nbsp;look into the links


https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1169053.html

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