document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868549>Question 868549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two kids traveled to a nearby playground on their bikes. They decided to ride back and forth across the playground. Both of them rode at a constant but different speed and they each take no time to turn around. Roman starts at the west end and Jems starts at the east end. They start at the same time and ride towards each other. They meet and pass each other 30ft from the east end. <BR>\n" );
document.write( "When they reached the opposite end of the playground they turn around and ride back towards each other.  When they meet again at 14 ft from the west end<BR>\n" );
document.write( " What is the length of the playground?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523778 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the playground, in feet<BR>\n" );
document.write( "When Roman and Jems first meet and pass each other 30ft from the east end,<BR>\n" );
document.write( "Jems has covered <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet, and Roman has covered <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L-30 ALIGN=MIDDLE  ALT=\"L-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet.<BR>\n" );
document.write( "When Roman and Jems meet again at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14 ALIGN=MIDDLE  ALT=\"14\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft from the west end,<BR>\n" );
document.write( "Jems has covered <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B14 ALIGN=MIDDLE  ALT=\"L%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet, while Roman is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14 ALIGN=MIDDLE  ALT=\"14\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet short of 2 playground lengths,<BR>\n" );
document.write( "meaning that Roman has covered <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L-14 ALIGN=MIDDLE  ALT=\"2L-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet.<BR>\n" );
document.write( "Since each of them rode at a constant speed,<BR>\n" );
document.write( "the ratio of their speeds and the ratio of the distances covered each time they meet is always the same,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282L-14%29%2F%28L%2B14%29=%28L-30%29%2F30 ALIGN=MIDDLE  ALT=\"%282L-14%29%2F%28L%2B14%29=%28L-30%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We solve that equation to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282L-14%29%2F%28L%2B14%29=%28L-30%29%2F30 ALIGN=MIDDLE  ALT=\"%282L-14%29%2F%28L%2B14%29=%28L-30%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%282L-14%29=%28L%2B14%29%28L-30%29 ALIGN=MIDDLE  ALT=\"30%282L-14%29=%28L%2B14%29%28L-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60L-420=L%5E2%2B14L-30L-420 ALIGN=MIDDLE  ALT=\"60L-420=L%5E2%2B14L-30L-420\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60L=L%5E2%2B14L-30L ALIGN=MIDDLE  ALT=\"60L=L%5E2%2B14L-30L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2B14L-30L-60L=0 ALIGN=MIDDLE  ALT=\"L%5E2%2B14L-30L-60L=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-76L=0 ALIGN=MIDDLE  ALT=\"L%5E2-76L=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%28L-76%29=0 ALIGN=MIDDLE  ALT=\"L%28L-76%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=0 ALIGN=MIDDLE  ALT=\"L=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution of that equation, but it does not make sense.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=76%29 ALIGN=MIDDLE  ALT=\"highlight%28L=76%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the solution that makes sense.<BR>\n" );
document.write( "The length of the playground is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2876%29 ALIGN=MIDDLE  ALT=\"highlight%2876%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. </SPAN>\n" );
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