document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002933>Question 1002933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jamie recently drove to visit her parents who live 490 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 14 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 #619799 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=619799\">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 in mi/hr on her way back home<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+24+ ALIGN=MIDDLE  ALT=\"+s+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her speed going 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 going back home<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14+-+t+ ALIGN=MIDDLE  ALT=\"+14+-+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her time in hrs going to parents<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Equation for going to parents:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+%28+s+%2B+24+%29%2A%28+14+-+t+%29+ ALIGN=MIDDLE  ALT=\"+490+=+%28+s+%2B+24+%29%2A%28+14+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for going back home:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+s%2At+ ALIGN=MIDDLE  ALT=\"+490+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+14s+%2B+336+-+s%2At+-+24t+ ALIGN=MIDDLE  ALT=\"+490+=+14s+%2B+336+-+s%2At+-+24t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+490%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+490%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=+490+=+14s+%2B+336+-+490+-+24%2A%28+490%2Fs+%29+ ALIGN=MIDDLE  ALT=\"+490+=+14s+%2B+336+-+490+-+24%2A%28+490%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=+490+%2B+154+=+14s+-+11760%2Fs+ ALIGN=MIDDLE  ALT=\"+490+%2B+154+=+14s+-+11760%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+644s+=+14s%5E2+-+11760+ ALIGN=MIDDLE  ALT=\"+644s+=+14s%5E2+-+11760+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14s%5E2+-+644s+-+11760+=+0+ ALIGN=MIDDLE  ALT=\"+14s%5E2+-+644s+-+11760+=+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+-+46s+=+840+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+46s+=+840+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+-+46s+%2B+%2846%2F2%29%5E2+=+840+%2B+%2846%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+46s+%2B+%2846%2F2%29%5E2+=+840+%2B+%2846%2F2%29%5E2+\"   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+-+46s+%2B+529+=+840+%2B+529+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+46s+%2B+529+=+840+%2B+529+\"   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+-+23+%29%5E2+=+1369+ ALIGN=MIDDLE  ALT=\"+%28+s+-+23+%29%5E2+=+1369+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+23+=+37+ ALIGN=MIDDLE  ALT=\"+s+-+23+=+37+\"   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+=+60+ ALIGN=MIDDLE  ALT=\"+s+=+60+\"   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=+s+%2B+24+=+60+%2B+24+ ALIGN=MIDDLE  ALT=\"+s+%2B+24+=+60+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+24+=+84+ ALIGN=MIDDLE  ALT=\"+s+%2B+24+=+84+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Her speed on her way back home was 60 mi/hr<BR>\n" );
document.write( "Her speed going to parents was 84 mi/hr<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check the answer<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+490%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+490%2Fs+\"   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+=+490%2F60+ ALIGN=MIDDLE  ALT=\"+t+=+490%2F60+\"   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+=+8.1667+ ALIGN=MIDDLE  ALT=\"+t+=+8.1667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+%28+s+%2B+24+%29%2A%28+14+-+t+%29+ ALIGN=MIDDLE  ALT=\"+490+=+%28+s+%2B+24+%29%2A%28+14+-+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=+490+=+%28+60+%2B+24+%29%2A%28+14+-+t+%29+ ALIGN=MIDDLE  ALT=\"+490+=+%28+60+%2B+24+%29%2A%28+14+-+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=+490+=+84%2A%28+14-t+%29+ ALIGN=MIDDLE  ALT=\"+490+=+84%2A%28+14-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=+490+=+1176+-+84t+ ALIGN=MIDDLE  ALT=\"+490+=+1176+-+84t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84t+=+1176+-+490+ ALIGN=MIDDLE  ALT=\"+84t+=+1176+-+490+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84t+=+686+ ALIGN=MIDDLE  ALT=\"+84t+=+686+\"   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+=+8.1667+ ALIGN=MIDDLE  ALT=\"+t+=+8.1667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );