document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003712>Question 1003712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 4 miles per hour faster when cycling than when walking, and the total time for both trips is two hours. Find her 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 #620355 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=620355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 4 miles per hour faster when cycling than when walking, and the total time for both trips is two hours. Find her walking speed.\r<BR>\n" );
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document.write( "Melissa walks 3 miles to the house of a friend and returns home on a bike.<BR>\n" );
document.write( "let the speed be x<BR>\n" );
document.write( "she takes 3/x hours to reach\r<BR>\n" );
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document.write( " She averages 4 miles per hour faster when cycling than when walking,<BR>\n" );
document.write( "speed = (x+4)\r<BR>\n" );
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document.write( "time taken = 3/(x+4)\r<BR>\n" );
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document.write( " and the total time for both trips is two hours.<BR>\n" );
document.write( "3/x + 3/(x+4) = 2\r<BR>\n" );
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document.write( "multiply the equation by x(x+4)\r<BR>\n" );
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document.write( "3(x+4)+3x = 2x(x+4)\r<BR>\n" );
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document.write( "3x+4+3x = 2x^2+8x\r<BR>\n" );
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document.write( "2x^2+2x-4=0<BR>\n" );
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document.write( "x^2+x-2=0\r<BR>\n" );
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document.write( "x^2-2x+x-2=0\r<BR>\n" );
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document.write( "x(x-2)+1(x-2)=0\r<BR>\n" );
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document.write( "(x-2)(x+1)=0\r<BR>\n" );
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document.write( "x=2 OR -1\r<BR>\n" );
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document.write( "ignore negative\r<BR>\n" );
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document.write( "x=2\r<BR>\n" );
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document.write( "her walking speed.= 2mph </SPAN>\n" );
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