document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322244>Question 322244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Edward leaves home at 9AM to hike to another town 12 miles away. He rests for 1 hour, and then hikes back on the same path and reaches home at 5PM. When coming back, his speed was 1mph < his speed going to the other town.\r<BR>\n" );
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document.write( "-What was his speed going both ways.\r<BR>\n" );
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document.write( "NOTE: I was able to solve some of this problem:\r<BR>\n" );
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document.write( "Distance = 12 miles (one way)<BR>\n" );
document.write( "Rate = (x+1) going  and (x) coming back<BR>\n" );
document.write( "Time = Total 8 hours, but 1 hour spent resing so 7 hours. PLEASE HELP!!!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230675 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=230675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Edward leaves home at 9AM to hike to another town 12 miles away. He rests for 1 hour, and then hikes back on the same path and reaches home at 5PM. When coming back, his speed was 1mph < his speed going to the other town. <BR>\n" );
document.write( "-What was his speed going both ways. <BR>\n" );
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document.write( "To town DATA:<BR>\n" );
document.write( "distance = 12 miles ; rate = x mph ; time = 12/x hrs\r<BR>\n" );
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document.write( "From town DATA:<BR>\n" );
document.write( "distance = 12 miles ; rate = (x-1) mph ; time = 12/(x-1) hrs<BR>\n" );
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document.write( "Note: Total time moving was (3+5-1) = 7 hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "12/x + 12/(x-1) = 7<BR>\n" );
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document.write( "12(x-1) + 12x = 7x(x-1)<BR>\n" );
document.write( "24x -12 = 7x^2 - 7x<BR>\n" );
document.write( "7x^2 -31x + 12 = 0 <BR>\n" );
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document.write( "Factor: <BR>\n" );
document.write( "(x-4)(7x-3) = 0<BR>\n" );
document.write( "x = 4 mph or x = 3/7<BR>\n" );
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document.write( "Reasonable answer:<BR>\n" );
document.write( "Only x = 4 mph (rate to town)<BR>\n" );
document.write( "x - 1 = 3 mph (rate from town)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
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