document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097199>Question 1097199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kayla can run 100 yards in 12 seconds. Naomi can run the same distance in 16 seconds. If Naomi is 20 yards ahead of Kayla when they both start running, how long does it take for Kayla to catch Naomi? \r<BR>\n" );
document.write( "\n" );
document.write( "A) How long does it take for Kayla to catch Naomi? (in seconds)\r<BR>\n" );
document.write( "\n" );
document.write( "B How many yards does Kayla have to run to catch Naomi? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711609 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=711609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kayla's speed = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2F12+=+25%2F3+ ALIGN=MIDDLE  ALT=\"+100%2F12+=+25%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds/sec<BR>\n" );
document.write( "Naomi's speed = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2F16+=+25%2F4+ ALIGN=MIDDLE  ALT=\"+100%2F16+=+25%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds/sec<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance that Kayla runs<BR>\n" );
document.write( "until she catches Naomi<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;\" > = time in seconds until<BR>\n" );
document.write( "Kayla catch up with Naomi<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Start a stop watch at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=0+ ALIGN=MIDDLE  ALT=\"+t=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "when Kayla leaves<BR>\n" );
document.write( "Naomi's head start is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+ ALIGN=MIDDLE  ALT=\"+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Kayla's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+25%2F3+%29%2At++ ALIGN=MIDDLE  ALT=\"+d+=+%28+25%2F3+%29%2At++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Naomi's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+20+=+%28+25%2F4+%29%2At+ ALIGN=MIDDLE  ALT=\"+d+-+20+=+%28+25%2F4+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Plug (1) into (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2825%2F3%29%2At+-+20+=+%28+25%2F4+%29%2At+ ALIGN=MIDDLE  ALT=\"+%2825%2F3%29%2At+-+20+=+%28+25%2F4+%29%2At+\"   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=+12+ ALIGN=MIDDLE  ALT=\"+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100t+-+240+=+75t+ ALIGN=MIDDLE  ALT=\"+100t+-+240+=+75t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25t+=+240+ ALIGN=MIDDLE  ALT=\"+25t+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+240%2F25+ ALIGN=MIDDLE  ALT=\"+t+=+240%2F25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+9.6+ ALIGN=MIDDLE  ALT=\"+t+=+9.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "Kayla catches Naomi in 9.6 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=+d+=+%2825%2F3%29%2At+ ALIGN=MIDDLE  ALT=\"+d+=+%2825%2F3%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%2825%2F3%29%2A9.6+ ALIGN=MIDDLE  ALT=\"+d+=+%2825%2F3%29%2A9.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+8.333%2A9.6+ ALIGN=MIDDLE  ALT=\"+d+=+8.333%2A9.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+80+ ALIGN=MIDDLE  ALT=\"+d+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+20+=+%28+25%2F4+%29%2At+ ALIGN=MIDDLE  ALT=\"+d+-+20+=+%28+25%2F4+%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=+d+-+20+=+6.25%2A9.6+ ALIGN=MIDDLE  ALT=\"+d+-+20+=+6.25%2A9.6+\"   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+-+20+=+60+ ALIGN=MIDDLE  ALT=\"+d+-+20+=+60+\"   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+=+80+ ALIGN=MIDDLE  ALT=\"+d+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );