document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=778222>Question 778222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Keisha drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Keisha drove home, there was no traffic and the trip only took 6 hours. If her average rate was  16 miles per hour faster on the trip home, how far away does Keisha live from the mountains? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474492 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=474492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Keisha drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Keisha drove home, there was no traffic and the trip only took 6 hours. If her average rate was  16 miles per hour faster on the trip home, how far away does Keisha live from the mountains?\r<BR>\n" );
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document.write( "way up\r<BR>\n" );
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document.write( "distance from home = x<BR>\n" );
document.write( "speed = y<BR>\n" );
document.write( "time =8 hours\r<BR>\n" );
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document.write( "d=rt<BR>\n" );
document.write( "x=8y<BR>\n" );
document.write( "x-8y=0...............(1)\r<BR>\n" );
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document.write( "return<BR>\n" );
document.write( "distance =x<BR>\n" );
document.write( "speed = y+16<BR>\n" );
document.write( "time = 6 hours\r<BR>\n" );
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document.write( "x=6(y+16)<BR>\n" );
document.write( "x=6y+96<BR>\n" );
document.write( "x-6y=96...............(2)<BR>\n" );
document.write( "x		-8	y	=	0	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "x		-6	y	=	96	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		6						<BR>\n" );
document.write( "Multiply (2) by		8						<BR>\n" );
document.write( "6	x		-48	y	=	0		<BR>\n" );
document.write( "8	x		-48	y	=	768		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "14	x				=	768		<BR>\n" );
document.write( "/	14							<BR>\n" );
document.write( "x	=	55						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "1	x		-8	y	=	0		<BR>\n" );
document.write( "55			-8	y	=	0		<BR>\n" );
document.write( "			-8	y	=	0		-55<BR>\n" );
document.write( "			-8	y	=	-55		<BR>\n" );
document.write( "				y	=	7	<BR>\n" );
document.write( "x= 55 the distance from home	\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );