document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159281>Question 159281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am truly confused by word problems. Please help. This is the question.\r<BR>\n" );
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document.write( "A twin-engined aircraft can fly 500 miles from city A to city B in 4 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?\r<BR>\n" );
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document.write( "I tried setting this up in a graph and got completely lost. I know this is probably a simple problem but I have worked on it for over an hour now and have gotten myself completely confused. Distance problems confound me. I appreciate your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117429 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Speed=distance%2Ftime ALIGN=MIDDLE  ALT=\"Speed=distance%2Ftime\"   DISABLED_style= \"max-width:90%; height:auto;\" >}, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=distance%2FSpeed ALIGN=MIDDLE  ALT=\"t=distance%2FSpeed\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> working eqn<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SpeedTwinEngineAircraft=S%5Bteac%5D ALIGN=MIDDLE  ALT=\"SpeedTwinEngineAircraft=S%5Bteac%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SpeedWind=S%5Bwnd%5D ALIGN=MIDDLE  ALT=\"SpeedWind=S%5Bwnd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "According to our working eqn:<BR>\n" );
document.write( "1st trip:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500miles%2F%28S%5Bteac%5D%2BS%5Bwnd%5D%29=4hours ALIGN=MIDDLE  ALT=\"500miles%2F%28S%5Bteac%5D%2BS%5Bwnd%5D%29=4hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D%2BS%5Bwnd%5D=500miles%2F4hours ALIGN=MIDDLE  ALT=\"S%5Bteac%5D%2BS%5Bwnd%5D=500miles%2F4hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D%2BS%5Bwnd%5D=125miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5Bteac%5D%2BS%5Bwnd%5D=125miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------------------> eqn 1<BR>\n" );
document.write( "2nd trip (going back):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500miles%2F%28S%5Bteac%5D-S%5Bwnd%5D%29=8hours ALIGN=MIDDLE  ALT=\"500miles%2F%28S%5Bteac%5D-S%5Bwnd%5D%29=8hours\"   DISABLED_style= \"max-width:90%; height:auto;\" >, see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bwnd%5D ALIGN=MIDDLE  ALT=\"S%5Bwnd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > negative (-)->\"against\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D-S%5Bwnd%5D=500miles%2F8hours=62.5miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5Bteac%5D-S%5Bwnd%5D=500miles%2F8hours=62.5miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------------> eqn 2<BR>\n" );
document.write( "In eqn 1, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D=125-S%5Bwnd%5D ALIGN=MIDDLE  ALT=\"S%5Bteac%5D=125-S%5Bwnd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------> eqn 3, and substitute in eqn 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125-S%5Bwnd%5D-S%5Bwnd%5D=62.5mi%2Fhr ALIGN=MIDDLE  ALT=\"125-S%5Bwnd%5D-S%5Bwnd%5D=62.5mi%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125-62.5=S%5Bwnd%5D%2BS%5Bwnd%5D ALIGN=MIDDLE  ALT=\"125-62.5=S%5Bwnd%5D%2BS%5Bwnd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=62.5=2S%5Bwnd%5D ALIGN=MIDDLE  ALT=\"62.5=2S%5Bwnd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2862.5%2931.25%2Fcross%282%29=cross%282%29S%5Bwnd%5D%2Fcross%282%29 ALIGN=MIDDLE  ALT=\"cross%2862.5%2931.25%2Fcross%282%29=cross%282%29S%5Bwnd%5D%2Fcross%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bwnd%5D=31.25miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5Bwnd%5D=31.25miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, SPEED OF WIND<BR>\n" );
document.write( "For the aircraft, go back eqn 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D=125-31.25 ALIGN=MIDDLE  ALT=\"S%5Bteac%5D=125-31.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bteac%5D=93.75miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5Bteac%5D=93.75miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To check, go back eqn 1 or 2:<BR>\n" );
document.write( "via eqn 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=93.75%2B31.25=125 ALIGN=MIDDLE  ALT=\"93.75%2B31.25=125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125mi%2Fhr=125mi%2Fhr ALIGN=MIDDLE  ALT=\"125mi%2Fhr=125mi%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "via eqn 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=93.75-31.25=62.5 ALIGN=MIDDLE  ALT=\"93.75-31.25=62.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=62.5mi%2Fhr=62.5mi%2Fhr ALIGN=MIDDLE  ALT=\"62.5mi%2Fhr=62.5mi%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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