document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360591>Question 360591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill runs 5 miles then walks 1 mile.  He runs 6 mph faster than he walks.  If his total time yesterday was 45 minutes. how fast did he run?\r<BR>\n" );
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document.write( "I tried many different things:  I know I need to use d=rt somehow.  I believe his run rate is 5/x+6 and his walk rate is 1/x.  I have tried 5/x+6 + 1/x = 6 and also setting it equal to 45, but not getting the correct answer (x=4).<BR>\n" );
document.write( "Thanks in advance for your assistance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257288 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=257288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Bill runs 5 miles then walks 1 mile. He runs 6 mph faster than he walks. If his total time yesterday was 45 minutes. how fast did he run? <BR>\n" );
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document.write( "Walk DATA:<BR>\n" );
document.write( "distance = 1 mile ; rate = x mph ; time = 1/x hrs<BR>\n" );
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document.write( "Run DATA:<BR>\n" );
document.write( "distance = 5 miles; rate = x+6 mph ; time = 5/(x+6) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 3/4 hr<BR>\n" );
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document.write( "1/x + 5/(x+6) = 3/4 hr<BR>\n" );
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document.write( "Multiply thru by 4x(x+6):<BR>\n" );
document.write( "4(x+6) + 5(4x) = 3x(x+6)<BR>\n" );
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document.write( "4x+24 + 20x = 3x^2+18x<BR>\n" );
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document.write( "3x^2 - 6x -24 = 0<BR>\n" );
document.write( "x^2 - 2x - 8 = 0<BR>\n" );
document.write( "(x-4)(x+2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 4 mph (walking rate)<BR>\n" );
document.write( "x+6 = 10 mph (running rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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