Question 1008877
Initial table of data before analyzing the time quantities; w is tailwind speed.
<pre>
               SPEED        TIME         DISTANCE

WITHWIND       155+w                     650
AGAINSTWD      155-w                     650
</pre>

<pre>
               SPEED        TIME            DISTANCE

WITHWIND       155+w        650/(155+w)      650
AGAINSTWD      155-w        650/(155-w)      650
</pre>

Concentrate on the part of the description, <i>Flying against a headwind, it takes 
2 hours longer to complete the return trip.</i>
This means {{{highlight(highlight_green(650/(155-w)-650/(155+w)=2))}}}.


The rest is arithmetic to solve the equation for w, the speed of the wind.