document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192618>Question 192618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a sales trip, Gail drives the 600 miles to Richmond averaging a certain speed. The return trip is made at an average speed that is 10 mph slower. Total time for the round trip is 22 hours. Find Gail's average speed on each part of the trip. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144605 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=144605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >= her average speed on the trip to Richmond<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time to get to Richmond<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time for return trip<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+600 ALIGN=MIDDLE  ALT=\"d+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi is the one-way distance<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+%2B+t%5B2%5D+=+22 ALIGN=MIDDLE  ALT=\"t%5B1%5D+%2B+t%5B2%5D+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+s%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d+=+s%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=600+=+s%2At%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+s%2At%5B1%5D\"   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=d+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"d+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"600+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 equations with 2 unknowns, so it's solvable<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+22s+-+220+-+s%2At%5B1%5D+%2B+10t%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+22s+-+220+-+s%2At%5B1%5D+%2B+10t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+s%2At%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+s%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=600+=+22s+-+220+-+600+%2B+10t%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+22s+-+220+-+600+%2B+10t%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=1420+=+22s+%2B+10%2A%28600%2Fs%29 ALIGN=MIDDLE  ALT=\"1420+=+22s+%2B+10%2A%28600%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1420s+=+22s%5E2+%2B+6000 ALIGN=MIDDLE  ALT=\"1420s+=+22s%5E2+%2B+6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22s%5E2+-+1420s+%2B+6000+=+0 ALIGN=MIDDLE  ALT=\"22s%5E2+-+1420s+%2B+6000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11s%5E2+-+710s+%2B+3000+=+0 ALIGN=MIDDLE  ALT=\"11s%5E2+-+710s+%2B+3000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+11 ALIGN=MIDDLE  ALT=\"a+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-710 ALIGN=MIDDLE  ALT=\"b+=+-710\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+3000 ALIGN=MIDDLE  ALT=\"c+=+3000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-710%29+%2B-+sqrt%28+%28-710%29%5E2-4%2A11%2A3000+%29%29%2F%282%2A11%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-710%29+%2B-+sqrt%28+%28-710%29%5E2-4%2A11%2A3000+%29%29%2F%282%2A11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+710+%2B-+sqrt%28+504100-132000+%29%29%2F+22+ ALIGN=MIDDLE  ALT=\"x+=+%28+710+%2B-+sqrt%28+504100-132000+%29%29%2F+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+710+%2B-+sqrt%28+372100+%29%29%2F+22+ ALIGN=MIDDLE  ALT=\"x+=+%28+710+%2B-+sqrt%28+372100+%29%29%2F+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+710+%2B-+610+%29%29%2F+22+ ALIGN=MIDDLE  ALT=\"x+=+%28+710+%2B-+610+%29%29%2F+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+1320%2F22 ALIGN=MIDDLE  ALT=\"s+=+1320%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+60 ALIGN=MIDDLE  ALT=\"s+=+60\"   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=s+-+10+=+50 ALIGN=MIDDLE  ALT=\"s+-+10+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "the trip to Richmond was made at 60 mi/hr<BR>\n" );
document.write( "The trip back at 50 mi/hr<BR>\n" );
document.write( "check answer <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"600+=+%28s+-+10%29%2A%2822+-+t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+50%2A%2822+-+t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"600+=+50%2A%2822+-+t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+1100+-+50t%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+1100+-+50t%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=50t%5B1%5D+=+1100+-+600 ALIGN=MIDDLE  ALT=\"50t%5B1%5D+=+1100+-+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t%5B1%5D+=+500 ALIGN=MIDDLE  ALT=\"50t%5B1%5D+=+500\"   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+=+10 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+22+-+10 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+22+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+12 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+s%2At%5B1%5D ALIGN=MIDDLE  ALT=\"600+=+s%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=600+=+60%2A10 ALIGN=MIDDLE  ALT=\"600+=+60%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+600 ALIGN=MIDDLE  ALT=\"600+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );