Question 1168906
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<pre>

They move in opposite direction --- therefore, their separating speed is the sum  55 + 40 = 95 km/h.


The distance of 38 km is  {{{2/5}}}  of 95 kilometers.


Therefore, the time spent to get separated at 38 kilometers is  {{{2/5}}}  of an hour,  which is 24 minutes.    <U>ANSWER</U>
</pre>

Solved.


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It is the &nbsp;"GUESSING" &nbsp;method, &nbsp;or mental reasoning.


Regarding the algebra method, &nbsp;I solved this problem for you at this forum several days ago.