document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800728>Question 800728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?\r<BR>\n" );
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document.write( "Do not do any rounding.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483225 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=483225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let Maria live x miles from the mountains\r<BR>\n" );
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document.write( "Let her rate to mountains be y\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "x/y = 9<BR>\n" );
document.write( "x=9y\r<BR>\n" );
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document.write( "Return trip 4 hours<BR>\n" );
document.write( "rate = y+40\r<BR>\n" );
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document.write( "x/(y+40) =4\r<BR>\n" );
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document.write( "substitute x<BR>\n" );
document.write( "9y/(y+40)=4\r<BR>\n" );
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document.write( "9y=4y+160\r<BR>\n" );
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document.write( "9y-4y=160<BR>\n" );
document.write( "5y=160<BR>\n" );
document.write( "y= 160/5<BR>\n" );
document.write( "y=32\r<BR>\n" );
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document.write( "x=9y<BR>\n" );
document.write( "x=9*32= 288 miles\r<BR>\n" );
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document.write( "distance to the mountain = 288 miles </SPAN>\n" );
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