document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264398>Question 264398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two hikers started from opposite ends of a 29-mile trail. One hiker walked 1.25 mph slower than the other hiker, and they met after 4 hours. How fast did each hiker walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854002 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Two hikers started from opposite ends of a 29-mile trail. One hiker walked 1.25 mph slower than the other hiker, <BR>\n" );
document.write( "and they met after 4 hours. How fast did each hiker walk?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution and the answer in the post by @mananth both are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The fact that his answer values are incorrect, everybody can check manually.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below is my correct solution.\r<BR>\n" );
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document.write( "Let x be the rate of the slower hiker, in miles per hour.<BR>\n" );
document.write( "Then the rate of the faster hiker is (x+1.25) miles per hour.\r<BR>\n" );
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document.write( "Write the total distance equation\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4x + 4*(x+1.25) = 29 miles.\r<BR>\n" );
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document.write( "Simplify and find x\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4x + 4x + 4*1.25 = 29,\r<BR>\n" );
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document.write( "       &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;8x   +    5   = 29,  &nbsp;&nbsp;--->  &nbsp;&nbsp;8x = 29 - 5 = 24,  &nbsp;&nbsp;---> &nbsp;&nbsp;x = 24/8 = 3.\r<BR>\n" );
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document.write( "<U>ANSWER</U>.  &nbsp;&nbsp;The slower hiker rate is 3 mph;  &nbsp;&nbsp;the faster hiker rate is 3+1.25 = 4.25 mph.\r<BR>\n" );
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document.write( "<U>CHECK</U>.  &nbsp;&nbsp;&nbsp;&nbsp;4*(3 + 4.25) = 4*7.25 = 29 miles,  &nbsp;the total distance.   &nbsp;&nbsp;&nbsp;&nbsp;! correct !<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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