document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810716>Question 810716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vinod while driving his bike on a stretch having poles marked at equal distance crosses poles at every twenty seconds. If he increases his speed by x meters per second, he crosses poles at every fifteen seconds. But if he increases his speed at y meters per second he crosses the poles at every tenth second. If Y - X = 40 meters per second, then what is the distance between two poles?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488474 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vinod while driving his bike on a stretch having poles marked at equal distance crosses poles at every twenty seconds.<BR>\n" );
document.write( " If he increases his speed by x meters per second, he crosses poles at every fifteen seconds.<BR>\n" );
document.write( " But if he increases his speed at y meters per second he crosses the poles at every tenth second.<BR>\n" );
document.write( " If Y - X = 40 meters per second, then what is the distance between two poles?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = distance between the poles<BR>\n" );
document.write( "Let s = original speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "original speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fs ALIGN=MIDDLE  ALT=\"d%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1st increase<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%28s%2Bx%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28%28s%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 15 sec<BR>\n" );
document.write( "d = 15(s+x)<BR>\n" );
document.write( "d = 15s + 15x<BR>\n" );
document.write( "15s = d - 15x<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F15 ALIGN=MIDDLE  ALT=\"d%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2nd increase<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%28s%2By%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28%28s%2By%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10 sec<BR>\n" );
document.write( "d = 10(s+y)<BR>\n" );
document.write( "d = 10s + 10y<BR>\n" );
document.write( "10s = d - 10y<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F10 ALIGN=MIDDLE  ALT=\"d%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s=s therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F10 ALIGN=MIDDLE  ALT=\"d%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F15 ALIGN=MIDDLE  ALT=\"d%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x<BR>\n" );
document.write( "multiply by 30<BR>\n" );
document.write( "3d - 30y = 2d - 30x<BR>\n" );
document.write( "3d - 2d = 30y - 30x<BR>\n" );
document.write( "d = 30(y-x)<BR>\n" );
document.write( "we know that y-x = 40, therefore<BR>\n" );
document.write( "d = 30(40)<BR>\n" );
document.write( "d = 1200 meters between poles \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );