document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271003>Question 271003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jet flew at an average speed of 520 miles per hour from Metro City to Farmville. Because of a favorable tail wind, the jet averaged 600 on the return trip, and the return trip was shortened by 40 minutes. How far is it from Metro City to Farmville? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198462 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=198462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write equations for each trip<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+r%5B1%5D%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+r%5B2%5D%2At%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (call it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+=+520 ALIGN=MIDDLE  ALT=\"r%5B1%5D+=+520\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+600 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+t%5B1%5D+-+2%2F3 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+t%5B1%5D+-+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr (40 min is 2/3 hr)<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+520%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d+=+520%2At%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+600%2A%28t%5B1%5D+-+2%2F3%29 ALIGN=MIDDLE  ALT=\"d+=+600%2A%28t%5B1%5D+-+2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "they both equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=520t%5B1%5D+=+600t%5B1%5D+-+400 ALIGN=MIDDLE  ALT=\"520t%5B1%5D+=+600t%5B1%5D+-+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80t%5B1%5D+=+400 ALIGN=MIDDLE  ALT=\"80t%5B1%5D+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+5 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "And, from (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+520%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d+=+520%2At%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+520%2A5 ALIGN=MIDDLE  ALT=\"d+=+520%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+2600 ALIGN=MIDDLE  ALT=\"d+=+2600\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "They are 2600 miles from eachother<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+600%2A%28t%5B1%5D+-+2%2F3%29 ALIGN=MIDDLE  ALT=\"d+=+600%2A%28t%5B1%5D+-+2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+600%2A%284+%2B+1%2F3%29 ALIGN=MIDDLE  ALT=\"d+=+600%2A%284+%2B+1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+2400+%2B+200 ALIGN=MIDDLE  ALT=\"d+=+2400+%2B+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+2600 ALIGN=MIDDLE  ALT=\"d+=+2600\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );