document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522652>Question 522652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Over thanksgiving break, drew decides to fly home from Arcata airport. The pilot announces that they have a tailwind and thus will make the 300 mile flight to San Fransisco airport in 45 minutes. Unfortunately, coming home, the pilot announces over the intercom that there is a headwind and they will be taking an hour and a half to get to Arcata Airport. How fast is the tailwind/headwind and how fast is Drew's airplane?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347001 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Over thanksgiving break, drew decides to fly home from Arcata airport.<BR>\n" );
document.write( " The pilot announces that they have a tailwind and thus will make the 300 mile flight to San Fransisco airport in 45 minutes.<BR>\n" );
document.write( " Unfortunately, coming home, the pilot announces over the intercom that there is a headwind and they will be taking an hour and a half to get to Arcata Airport.<BR>\n" );
document.write( " How fast is the tailwind/headwind and how fast is Drew's airplane?<BR>\n" );
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document.write( "Let s = plane speed in still air<BR>\n" );
document.write( "Let w = wind speed<BR>\n" );
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document.write( "Change 45 min to .75 hrs<BR>\n" );
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document.write( "Write a distance equation for each way. (dist = speed * time)<BR>\n" );
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document.write( ".75(s + w) = 300<BR>\n" );
document.write( "1.5(s - w) = 300<BR>\n" );
document.write( "Simplify both equations, divide the 1st by .75 and the 2nd by 1.5, results<BR>\n" );
document.write( "s + w = 400<BR>\n" );
document.write( "s - w = 200<BR>\n" );
document.write( "-------------Adding eliminates w, find s<BR>\n" );
document.write( "2s + 0 = 600<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F2 ALIGN=MIDDLE  ALT=\"600%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 300 mph is the speed of the plane<BR>\n" );
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document.write( "Find the wind speed<BR>\n" );
document.write( "300 + w = 400<BR>\n" );
document.write( "w = 400 - 300<BR>\n" );
document.write( "w = 100 mph is the speed of the wind<BR>\n" );
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document.write( "Check solution in the 2nd equation<BR>\n" );
document.write( "1.5(300 - 100) = <BR>\n" );
document.write( "1.5(200) = 300 </SPAN>\n" );
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