document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955922>Question 955922</A>: <I><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "18. Mark walks 3 miles to the house of a friend and returns home on a bike. He averages 5 mph faster when cycling than walking, and the total time for both trips is 2 hours. Find his walking speed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583978 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=583978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mark walks 3 miles to the house of a friend and returns home on a bike. He averages 5 mph faster when cycling than walking, and the total time for both trips is 2 hours. Find his walking speed. <BR>\n" );
document.write( "Walking DATA::<BR>\n" );
document.write( "dist = 3 miles ; rate = x mph ; time = d/r = 3/x hrs<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Bike DATA:<BR>\n" );
document.write( "dist = 3 miles ; rate = (x+5) mph ; time = 3/(x+5) hrs<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 2 hrs<BR>\n" );
document.write( "3/x + 3/(x+5) = 2<BR>\n" );
document.write( "3(x+5) + 3x = 2x(x+5)<BR>\n" );
document.write( "3x + 15 = 2x^2 + 10x<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "2x^2 + 7x - 15 = 0<BR>\n" );
document.write( "2x^2 + 10x-3x - 15 = 0<BR>\n" );
document.write( "2x(x+5) - 3(x+5) = 0<BR>\n" );
document.write( "(x+5)(2x-3) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 3/2 mph (walking rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );