document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158673>Question 1158673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An air plane flies 600miles with the wind for 2hours and returns against the wind in 3hours. Find the speed of wind and the air plane. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781640 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of the airplane be x mph and the speed of the wind y mph. We have the system of equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=300%2Cx-y=200%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=300%2Cx-y=200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Adding the two equations together gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=500 ALIGN=MIDDLE  ALT=\"2x=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Dividing both sides by 2 gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=250%29 ALIGN=MIDDLE  ALT=\"highlight%28x=250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plugging this into either equation gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=50%29 ALIGN=MIDDLE  ALT=\"highlight%28y=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the airplane's speed is 250 mph and the wind's speed is 50 mph.  </SPAN>\n" );
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