document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029152>Question 1029152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A biker decided to cover the distance of 120 km at a certain speed. However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to. What was the actual speed of the biker?<BR>\n" );
document.write( "PS:If x is the actual speed of the biker, then what is the equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644178 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=644178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A biker decided to cover the distance of 120 km at a certain speed.\r<BR>\n" );
document.write( "\n" );
document.write( "let speed be x\r<BR>\n" );
document.write( "\n" );
document.write( "Time he would take = 120/x ( t=d/r)\r<BR>\n" );
document.write( "\n" );
document.write( " However, he actually went 6 km/h slower<BR>\n" );
document.write( "Actually his speed was 6 km slower (x-6)\r<BR>\n" );
document.write( "\n" );
document.write( "Time taken =120/(x-6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " so he arrived at his destination 1 hour later\r<BR>\n" );
document.write( "\n" );
document.write( "120/(x-6) -120/x = 1\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify\r<BR>\n" );
document.write( "\n" );
document.write( "120x -120(x-6) = x(x-6)\r<BR>\n" );
document.write( "\n" );
document.write( "120x -120x +720=x^2-6x\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-6x-720=0\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-30x+24x-720=0\r<BR>\n" );
document.write( "\n" );
document.write( "x(x-30)+24(x-30)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(x-30)(x+24)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x= 30 OR -24\r<BR>\n" );
document.write( "\n" );
document.write( "Ignore negative\r<BR>\n" );
document.write( "\n" );
document.write( "planned speed = 30 km/h </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );