document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123723>Question 1123723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pair of hikers, 18 miles apart, begin at the same time to hike toward each pther. , and if they meet 2 hours later, how fast is each one walking? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740087 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "for the first hiker:\r<BR>\n" );
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document.write( "time = 2<BR>\n" );
document.write( "distance = d<BR>\n" );
document.write( "rate = x\r<BR>\n" );
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document.write( "for the second hiker:\r<BR>\n" );
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document.write( "time = 2<BR>\n" );
document.write( "distance = 18 - d<BR>\n" );
document.write( "rate = x + 1\r<BR>\n" );
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document.write( "rate * time = distance for the first hiker becomes 2x = d\r<BR>\n" );
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document.write( "rate * time = distance for the second hiker becomes 2(x + 1) = 18 - d\r<BR>\n" );
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document.write( "since 2x = d from the first equation, replace d in the second equation with 2x to get:\r<BR>\n" );
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document.write( "2(x + 1) = 18 - 2x<BR>\n" );
document.write( "simplify to get 2x + 2 = 18 - 2x<BR>\n" );
document.write( "subtract 2 from both sides of this equation and add 2x to both sides of this equation to get 4x = 16<BR>\n" );
document.write( "solve for x to get x = 16/4 = 4\r<BR>\n" );
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document.write( "the first hiker travels at 4 miles per hour.<BR>\n" );
document.write( "the second hiker travels at 5 miles per hour.\r<BR>\n" );
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document.write( "in 2 hours, the first hiker has traveled 8 miles.<BR>\n" );
document.write( "in 2 hours, the second hiker has traveled 10 miles.\r<BR>\n" );
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document.write( "they meet at the 8 mile mark from the first hiker, which is the same as the 10 mile mark from the second hiker.\r<BR>\n" );
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document.write( "the question was how fast is each walking.\r<BR>\n" );
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document.write( "the first hiker walks at 4 miles per hour.<BR>\n" );
document.write( "the second hiker walks at 5 miles per hour.\r<BR>\n" );
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document.write( "that's your solution.<BR>\n" );
document.write( " </SPAN>\n" );
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