document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119180>Question 119180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A light plane flew from its home base to an airport 255 miles away. With a headwind, the trip took 1.7 hours. The return trip with tailwind took 1.5 hours. Fine the average airspeed of the plane and the average wind speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87330 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is common to both trips? That's always the right question to ask.<BR>\n" );
document.write( "The answer is -distance-It's 255 mi in both cases. The speed will be<BR>\n" );
document.write( "different and so will the time.<BR>\n" );
document.write( "s = plane's average speed in still air<BR>\n" );
document.write( "w = average windspeed<BR>\n" );
document.write( "On the first trip, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255+=+%28s+-w%291.7 ALIGN=MIDDLE  ALT=\"255+=+%28s+-w%291.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On the 2nd trip, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255+=+%28s+%2B+w%291.5 ALIGN=MIDDLE  ALT=\"255+=+%28s+%2B+w%291.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7s+-+1.7w+=+255 ALIGN=MIDDLE  ALT=\"1.7s+-+1.7w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5s+%2B+1.5w+=+255 ALIGN=MIDDLE  ALT=\"1.5s+%2B+1.5w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of the 2nd equation by the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7%2F1.5 ALIGN=MIDDLE  ALT=\"1.7%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7s+-+1.7w+=+255 ALIGN=MIDDLE  ALT=\"1.7s+-+1.7w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7s+%2B+1.7w+=+255%2A%281.7%2F1.5%29 ALIGN=MIDDLE  ALT=\"1.7s+%2B+1.7w+=+255%2A%281.7%2F1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.4s+=+255+%2B+255%2A%281.7%2F1.5%29 ALIGN=MIDDLE  ALT=\"3.4s+=+255+%2B+255%2A%281.7%2F1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 1.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.1s+=+255%2A1.5+%2B+255%2A1.7 ALIGN=MIDDLE  ALT=\"5.1s+=+255%2A1.5+%2B+255%2A1.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.1s+=+382.5+%2B+433.5 ALIGN=MIDDLE  ALT=\"5.1s+=+382.5+%2B+433.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.1s+=+876 ALIGN=MIDDLE  ALT=\"5.1s+=+876\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+160 ALIGN=MIDDLE  ALT=\"s+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi/hr average airspeed of plane<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7%2A160+-+1.7w+=+255 ALIGN=MIDDLE  ALT=\"1.7%2A160+-+1.7w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=272+-+1.7w+=+255 ALIGN=MIDDLE  ALT=\"272+-+1.7w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7w+=+272+-+255 ALIGN=MIDDLE  ALT=\"1.7w+=+272+-+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7w+=+17 ALIGN=MIDDLE  ALT=\"1.7w+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+10 ALIGN=MIDDLE  ALT=\"w+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi/hr ave windspeed<BR>\n" );
document.write( "check answers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7%2A160+-+1.7%2A10+=+255 ALIGN=MIDDLE  ALT=\"1.7%2A160+-+1.7%2A10+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=272+-+17+=+255 ALIGN=MIDDLE  ALT=\"272+-+17+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255+=+255 ALIGN=MIDDLE  ALT=\"255+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5s+%2B+1.5w+=+255 ALIGN=MIDDLE  ALT=\"1.5s+%2B+1.5w+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A160+%2B+1.5%2A10+=+255 ALIGN=MIDDLE  ALT=\"1.5%2A160+%2B+1.5%2A10+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240+%2B+15+=+255 ALIGN=MIDDLE  ALT=\"240+%2B+15+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255+=+255 ALIGN=MIDDLE  ALT=\"255+=+255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );