document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307434>Question 307434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man walks 6 miles then rides a bike 42 miles.  His total trip took 5 hours.  If he rode the bike 8 MPH faster than he walked, how fast did he walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219940 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=219940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man walks 6 miles then rides a bike 42 miles.  His total trip took 5 hours.  If he rode the bike 8 MPH faster than he walked, how fast did he walk?\r<BR>\n" );
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document.write( "let the man walk at x mph\r<BR>\n" );
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document.write( "He rides at a speed of x+8 mph\r<BR>\n" );
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document.write( "time he walked was 6/x hours  ( distance /rate )\r<BR>\n" );
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document.write( "time he rode = 42/ x+8\r<BR>\n" );
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document.write( "total time the trip took was 5 hours\r<BR>\n" );
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document.write( "time he walked + time he rode= 5 \r<BR>\n" );
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document.write( "6/x + 42/ x+8 = 5\r<BR>\n" );
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document.write( "LCM = x(x+8)\r<BR>\n" );
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document.write( "6(x+8)+42x /  x(x+8)*5\r<BR>\n" );
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document.write( "6x+48+ 42x= 5x^2 +40x\r<BR>\n" );
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document.write( "5x^2+40x -6x-42x-48=0\r<BR>\n" );
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document.write( "5x^2-8x-48=0\r<BR>\n" );
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document.write( "find the roots of the equation x1, x2\r<BR>\n" );
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document.write( "x1, x2 = -b +/- sqrt(b^2-4ac) / 2a\r<BR>\n" );
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document.write( "In this equation a= 5, b=-8 c= -48\r<BR>\n" );
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document.write( "x1= 8+sqrt(64+960) /10<BR>\n" );
document.write( "x1=4\r<BR>\n" );
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document.write( "x2 =8-sqrt(64+960) /10 <BR>\n" );
document.write( "x2= -2.4\r<BR>\n" );
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document.write( "x1 = positive = 4 mph.  The walking rate\r<BR>\n" );
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document.write( "he rode at x+4 mph = 4+8 =12\r<BR>\n" );
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document.write( "12 mph\r<BR>\n" );
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document.write( " </SPAN>\n" );
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