<PRE><B>Question 1132115</B>
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&lt;pre&gt;
The total time is  1 hour 15 minutes = 1.25 hours.


The first part of the trip at high speed took 30 minutes = 0.5 of an hour.


Hence, the second part of the trip took  1.25 - 0.5 = 0.75 of an hour.


Let x be the speed during the first part of the trip (the value under the question).


Then the first part of the trip was  0.5*x kilometers long (time multiplied by the speed).


The second part of the trip was  0.75*(x-40)  kilometers long.


Together, these two parts are the entire distance of 38 kilometers.


It gives you an equation


    0.5x + 0.75*(x-40) = 38   kilometers.


Simplify and solve for x:


    0.5x + 0.75x - 30 = 38

    1.25x = 30 + 38 = 68.

    x = {{{68/1.25}}} = 54.4 kilometers per hour.     &lt;U&gt;ANSWER&lt;/U&gt;
&lt;/pre&gt;

Solved.


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See introductory lessons on Travel and Distance problems

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson&gt;Travel and Distance problems&lt;/A&gt;  

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems-for-two-bodies-moving-toward-each-other.lesson&gt;Travel and Distance problems for two bodies moving in opposite directions&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/travel/Typical-catching-up-Travel-and-Distance-problems.lesson&gt;Travel and Distance problems for two bodies moving in the same direction (catching up)&lt;/A&gt;

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