<PRE><B>Question 1165883</B>
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&lt;pre&gt;

The effective rate flying against the wind is  {{{28/2}}} = 14 miles per hour.

It is the difference of the groundspeed and the speed of the wind.



The effective rate flying back (with the wind) is  {{{28/1.5}}} = 18 {{{2/3}}} miles per hour.

It is the sum of the groundspeed and the speed of the wind.



Therefore, the groundspeed is half the sum of these values, which is 

{{{(1/2)}}}*(18 {{{2/3}}} + 14) = 16 {{{1/3}}} mph.



The speed of the wind is half the difference of these values, which is 

{{{(1/2)}}}*(18 {{{2/3}}} - 14) = 2 {{{1/3}}} mph.
&lt;/pre&gt;

Solved.


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It is a typical &quot;tailwind and headwind&quot; word problem.


See the lessons 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems.lesson&gt;Wind and Current problems&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems-solvable-by-quadratic-equations.lesson&gt;Wind and Current problems solvable by quadratic equations&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/travel/Selected-problems-from-the-archive-on-a-plane-flying-with-and-against-the-wind.lesson&gt;Selected problems from the archive on a plane flying with and against the wind&lt;/A&gt; 

in this site, where you will find other similar solved problems with detailed explanations.



Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this textbook under the section &quot;&lt;U&gt;Word problems&lt;/U&gt;&quot;, &amp;nbsp;the topic &quot;&lt;U&gt;Travel and Distance problems&lt;/U&gt;&quot;.



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.





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