document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701652>Question 701652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two track team members ran a 200-meter relay in 29 seconds. Each runner ran 100 meter. One runner ran 0.55 meters per second faster than the other. What was the speed of each runner? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432519 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=432519\">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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in seconds for the faster runner<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;\" > = the time in seconds for the slower runner<BR>\n" );
document.write( "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;\" > = the speed of the slower runner in m/sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+.55+ ALIGN=MIDDLE  ALT=\"+s+%2B+.55+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster runner in m/sec<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "For slower runner:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+=+s%2A%28+29+-+t+%29+ ALIGN=MIDDLE  ALT=\"+100+=+s%2A%28+29+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the faster runner:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+=+%28+s+%2B+.55+%29%2At+ ALIGN=MIDDLE  ALT=\"+100+=+%28+s+%2B+.55+%29%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=+100+=+29s+-+s%2At+ ALIGN=MIDDLE  ALT=\"+100+=+29s+-+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+100+%2F+%28+s+%2B+.55+%29+ ALIGN=MIDDLE  ALT=\"+t+=+100+%2F+%28+s+%2B+.55+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+=+29s+-+s%2A%28+100+%2F+%28+s+%2B+.55+%29%29+ ALIGN=MIDDLE  ALT=\"+100+=+29s+-+s%2A%28+100+%2F+%28+s+%2B+.55+%29%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=+100%2A%28+s+%2B+.55+%29+=+29s%2A%28+s+%2B+.55+%29+-+100s+ ALIGN=MIDDLE  ALT=\"+100%2A%28+s+%2B+.55+%29+=+29s%2A%28+s+%2B+.55+%29+-+100s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100s+%2B+55++=+29s%5E2+%2B+15.95s+-+100s+ ALIGN=MIDDLE  ALT=\"+100s+%2B+55++=+29s%5E2+%2B+15.95s+-+100s+\"   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++=+55+-+15.95s+ ALIGN=MIDDLE  ALT=\"+29s%5E2++=+55+-+15.95s+\"   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+%2B+15.95s+-+55+=+0+ ALIGN=MIDDLE  ALT=\"+29s%5E2+%2B+15.95s+-+55+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+s+=+%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+=+29+ ALIGN=MIDDLE  ALT=\"+a+=+29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+15.95+ ALIGN=MIDDLE  ALT=\"+b+=+15.95+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-55+ ALIGN=MIDDLE  ALT=\"+c+=+-55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-15.95+%2B-+sqrt%28+15.95%5E2+-+4%2A29%2A%28-55%29+%29%29+%2F+%282%2A29%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-15.95+%2B-+sqrt%28+15.95%5E2+-+4%2A29%2A%28-55%29+%29%29+%2F+%282%2A29%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+=+%28+-15.95+%2B-+sqrt%28+254.4025+%2B+6380+%29%29+%2F+58+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-15.95+%2B-+sqrt%28+254.4025+%2B+6380+%29%29+%2F+58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-15.95+%2B-+sqrt%28+6634.4+%29%29+%2F+58+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-15.95+%2B-+sqrt%28+6634.4+%29%29+%2F+58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-15.95+%2B+81.452+%29+%2F+58+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-15.95+%2B+81.452+%29+%2F+58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+65.5+%2F+58+ ALIGN=MIDDLE  ALT=\"+s+=+65.5+%2F+58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+1.1293+ ALIGN=MIDDLE  ALT=\"+s+=+1.1293+\"   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+.55+=+1.6793+ ALIGN=MIDDLE  ALT=\"+s+%2B+.55+=+1.6793+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slower runner's speed is 1.1293 m/sec<BR>\n" );
document.write( "The faster runners speed is 1.6793 m/sec<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+=+1.1293%2A%28+29+-+t+%29+ ALIGN=MIDDLE  ALT=\"+100+=+1.1293%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=+100+=+32.7497+-+1.1293t+ ALIGN=MIDDLE  ALT=\"+100+=+32.7497+-+1.1293t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1293t+=+67.2503+ ALIGN=MIDDLE  ALT=\"+1.1293t+=+67.2503+\"   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+=+59.5504+ ALIGN=MIDDLE  ALT=\"+t+=+59.5504+\"   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=+100+=+%28+1.1293+%2B+.55+%29%2At+ ALIGN=MIDDLE  ALT=\"+100+=+%28+1.1293+%2B+.55+%29%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=+100+=+1.6793%2At+ ALIGN=MIDDLE  ALT=\"+100+=+1.6793%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=+t+=+59.549+ ALIGN=MIDDLE  ALT=\"+t+=+59.549+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough<BR>\n" );
document.write( "hope I got it\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );