document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054727>Question 1054727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jamie recently drove to visit her parents who live 870 miles away. On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 29 hours driving, find the two rates. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670023 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=670023\">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 speed driving back home in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+25+ ALIGN=MIDDLE  ALT=\"+s+%2B+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her speed driving to parents in mi/hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her time in hrs to drive back home<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+29+-+t+ ALIGN=MIDDLE  ALT=\"+29+-+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her time driving to parents house in hrs<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "Driving to parents house:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+%28+s%2B25+%29%2A%28+29+-+t+%29+ ALIGN=MIDDLE  ALT=\"+870+=+%28+s%2B25+%29%2A%28+29+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Driving back home:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+s%2At+ ALIGN=MIDDLE  ALT=\"+870+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+870%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+870%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+%28+s%2B25+%29%2A%28+29+-+870%2Fs+%29+ ALIGN=MIDDLE  ALT=\"+870+=+%28+s%2B25+%29%2A%28+29+-+870%2Fs+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+29s+%2B+725+-+870+-+21750%2Fs+ ALIGN=MIDDLE  ALT=\"+870+=+29s+%2B+725+-+870+-+21750%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1740+-+725+=+29s+-+21750%2Fs+ ALIGN=MIDDLE  ALT=\"+1740+-+725+=+29s+-+21750%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1015+=+29s+-+21750%2Fs+ ALIGN=MIDDLE  ALT=\"+1015+=+29s+-+21750%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1015s+=+29s%5E2+-+21750+ ALIGN=MIDDLE  ALT=\"+1015s+=+29s%5E2+-+21750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+29s%5E2+-+1015s+-+21750+=+0+ ALIGN=MIDDLE  ALT=\"+29s%5E2+-+1015s+-+21750+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+-+35s+-+750+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+35s+-+750+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s+-+50+%29%2A%28+s+%2B+15+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+s+-+50+%29%2A%28+s+%2B+15+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( by looking at this )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+50+ ALIGN=MIDDLE  ALT=\"+s+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( because the speed must be positive )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+25+=+75+ ALIGN=MIDDLE  ALT=\"+s+%2B+25+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "Her speed driving back home in mi/hr is 50 mi/hr<BR>\n" );
document.write( "Her speed driving to parents in mi/hr is 75 mi/hr<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+s%2At+ ALIGN=MIDDLE  ALT=\"+870+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+50t+ ALIGN=MIDDLE  ALT=\"+870+=+50t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.4+ ALIGN=MIDDLE  ALT=\"+t+=+17.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+%28+50%2B25+%29%2A%28+29+-+t+%29+ ALIGN=MIDDLE  ALT=\"+870+=+%28+50%2B25+%29%2A%28+29+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+75%2A%28+29+-+t+%29+ ALIGN=MIDDLE  ALT=\"+870+=+75%2A%28+29+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+870+=+2175+-+75t+ ALIGN=MIDDLE  ALT=\"+870+=+2175+-+75t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75t+=+1305+ ALIGN=MIDDLE  ALT=\"+75t+=+1305+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.4+ ALIGN=MIDDLE  ALT=\"+t+=+17.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );