document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202967>Question 1202967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides $7$ times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838189 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be his distance from home and y be his distance from the stadium.  Then x+y is the distance from his home to the stadium.<br><BR>\n" );
document.write( "He rides his bicycle at a rate 7 times his walking rate.  Since the question only asks for the ratio of x to y and doesn't involve any actual distances, we can use simply \"1\" for his walking rate and \"7\" for his cycling rate.<br><BR>\n" );
document.write( "His time to return home a distance x at rate \"1\" and bicycle the whole distance x+y at rate \"7\" is the same as his time to walk the distance y at rate \"1\":<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1%2B%28x%2By%29%2F7=y%2F1 ALIGN=MIDDLE  ALT=\"x%2F1%2B%28x%2By%29%2F7=y%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B%28x%2By%29=7y ALIGN=MIDDLE  ALT=\"7x%2B%28x%2By%29=7y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=6y ALIGN=MIDDLE  ALT=\"8x=6y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=6%2F8=3%2F4 ALIGN=MIDDLE  ALT=\"x%2Fy=6%2F8=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: x:y = 3:4<br><BR>\n" );
document.write( " </SPAN>\n" );
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