document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805554>Question 805554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jogger ran a 30km race at a speed of x km/hr. He was 4 hours faster than a walker who was walking 10km/hr slower. What speed was the jogger jogging at?\r<BR>\n" );
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document.write( "I have been stuck on this question for a while now but am getting nowhere. <BR>\n" );
document.write( "Could you please help? <BR>\n" );
document.write( "Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485308 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=485308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Time taken by walker - time taken by jogger = 4 hours\r<BR>\n" );
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document.write( "let walker speed = x kph<BR>\n" );
document.write( "jogger speed = x+4 kph\r<BR>\n" );
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document.write( "distance = 30 \r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "30/(x-10)-30/x=4\r<BR>\n" );
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document.write( "multiply equation by x(x-10)\r<BR>\n" );
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document.write( "30x-30(x-10)= 4x(x-10)\r<BR>\n" );
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document.write( "30x+300-30x=4x^2-40x\r<BR>\n" );
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document.write( "4x^2-40x-300=0\r<BR>\n" );
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document.write( "/4<BR>\n" );
document.write( "x^2-10x-75=0\r<BR>\n" );
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document.write( "x^2-15x+10x-75=0\r<BR>\n" );
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document.write( "x(x-15)+10(x-15)=0\r<BR>\n" );
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document.write( "(x-15)(x+10)=0\r<BR>\n" );
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document.write( "x=15 OR -10\r<BR>\n" );
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document.write( "ignore negative\r<BR>\n" );
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document.write( "x=15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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