document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886482>Question 886482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A novice hiker can walk a 50 mile trail in 10 hr. the hiker traveled the first 20 miles of the trail at a constant rate before decreasing the rate by 1 mph. Find the rate for each part of the hike. \r<BR>\n" );
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document.write( "I know the average of the whole thing would be 5 mph.\r<BR>\n" );
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document.write( "I tried 5.5mph for the first 20 and 4.5 for the last 30 but the time I got is 10 hours 17 min.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535927 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=535927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A novice hiker can walk a 50 mile trail in 10 hr. the hiker traveled the first 20 miles of the trail at a constant rate before decreasing the rate by 1 mph. Find the rate for each part of the hike. <BR>\n" );
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document.write( "let x=rate 1st 20 mi<BR>\n" );
document.write( "x-1=rate remaining 30 mi<BR>\n" );
document.write( "travel time=distance/rate<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fx%2B30%2F%28x-1%29=10 ALIGN=MIDDLE  ALT=\"20%2Fx%2B30%2F%28x-1%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "lcd: x(x-1)<BR>\n" );
document.write( "20(x-1)+30x=10(x^2-x)<BR>\n" );
document.write( "20x-20+30x=10x^2-10x<BR>\n" );
document.write( "10x^2-60x+20=0<BR>\n" );
document.write( "x^2-6x+2=0<BR>\n" );
document.write( "solve by quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "a=1, b=-6, c=2<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x&#8776;0.35 (reject, not reasonable)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x&#8776;5.65<BR>\n" );
document.write( "..<BR>\n" );
document.write( "rate 1st 20 mi&#8776;5.65 mph<BR>\n" );
document.write( "rate remaining 30 mi&#8776;4.65 mph<BR>\n" );
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