document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353719>Question 353719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After walking a distance of 6 miles at a certain rate, a man decided to increase his rate per hour by 1 mile and walked 5 miles farther. Had he walked the entire distance of 11 miles at his former rate, his time would have been 15 minutes longer. Find his former rate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252871 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=252871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After walking a distance of 6 miles at a certain rate, a man decided to increase his rate per hour by 1 mile and walked 5 miles farther. <BR>\n" );
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document.write( "Had he walked the entire distance of 11 miles at his former rate, his time would have been 15 minutes longer. Find his former rate.<BR>\n" );
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document.write( "1st segment DATA:<BR>\n" );
document.write( "distance = 6 miles ; rate = x mph ; time = 6/x hrs.<BR>\n" );
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document.write( "2nd segment DATA:<BR>\n" );
document.write( "distance = 5 miles ; rate = x+1 mph ; time = 5/(x+1) hrs.<BR>\n" );
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document.write( "Total distance DATA:<BR>\n" );
document.write( "distance = 11 miles ; rate = x ; time = d/r = 11/x hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(time + time) - time = (1/4)hrs<BR>\n" );
document.write( "[11/x] -[6/x + 5/(x+1)] = 1/4<BR>\n" );
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document.write( "Multiply thru by 4x(x+1) to get:<BR>\n" );
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document.write( "11*4(x+1) - [6*4*(x+1) + 5*4x] = x(x+1)<BR>\n" );
document.write( "44x+44 - 24x-24 - 20x = x^2+x<BR>\n" );
document.write( "20 = x^2+x<BR>\n" );
document.write( "x^2+x-20 = 0<BR>\n" );
document.write( "(x+5)(x-4) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 4 mph<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );