document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378666>Question 378666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In mrs. kuehn's class wendy found out that her walking rate is 2 meters per second. When she gets home from school she finds times her younger sister jenny as jenny walks a hundred meters. Wendy figures out that jennys walking rate is 1.5 meters per second. Jenny challenges wendy to a walking race because wendy know she walks faster. She gives jenny a 20 meter head start hoping that jenny will win in a close race. How long should the race be if wendy wants it to end in a tie? how would i set this up as a linear equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268950 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let them race for a distance of x meters<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Jenny gets a head start of 20 meters<BR>\n" );
document.write( ".<BR>\n" );
document.write( "so her distance is x-20 meters<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Wendy walks x meters<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Jenny's apeed = 1.5 m/second<BR>\n" );
document.write( "wendy speed = 2m/second<BR>\n" );
document.write( "..<BR>\n" );
document.write( "If there has to be a tie ,they take same time.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "t= d/r<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Jenny's time = (x-20)/1.5<BR>\n" );
document.write( "Wendy's time = x/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2+=+%28x-20%29%2F1.5 ALIGN=MIDDLE  ALT=\"x%2F2+=+%28x-20%29%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "cross multiply<BR>\n" );
document.write( "1.5x=2(x-20)<BR>\n" );
document.write( "1.5x=2x-40<BR>\n" );
document.write( "-2x<BR>\n" );
document.write( "1.5x-2x=-40<BR>\n" );
document.write( "-0.5x=-40<BR>\n" );
document.write( "/-0.5<BR>\n" );
document.write( "x=-40/0.5<BR>\n" );
document.write( "x=80 meters, the distance they have to race.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );