document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568273>Question 568273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars left an intersection at the same time. One traveled north. The other traveled 6 miles farther, but to the easy. How far did the car going east travel when the distance between the two cars was 30 miles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366884 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=366884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> they are traveling at right angles to each other.									<BR>\n" );
document.write( "At any given instant they form a right triangle with their starting point									<BR>\n" );
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document.write( "distance of one from starting point= x			North bound						<BR>\n" );
document.write( " other  = x+6			East bound						<BR>\n" );
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document.write( "X^2 +	(x+	6	}^2	=	30	^2			<BR>\n" );
document.write( "				*					<BR>\n" );
document.write( "X^2  +	X^2+	12	x	+	36	=	900		<BR>\n" );
document.write( "									<BR>\n" );
document.write( "2	X^2	+	12	x	-864	=	0	\r<BR>\n" );
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document.write( "/2<BR>\n" );
document.write( "x^2+6x	-432<BR>\n" );
document.write( "x^2+24x-18x-432=0\r<BR>\n" );
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document.write( "x(x+24)-18(x+24)=0<BR>\n" );
document.write( "(x+24)(x-18)=0\r<BR>\n" );
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document.write( "x=24 OR 18<BR>\n" );
document.write( "x=18 distance of north bound from starting point.\r<BR>\n" );
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document.write( "ignore negative since distance cannot be negative<BR>\n" );
document.write( "distance of east bound will be  = 18+6 = 24 miles from the starting point </SPAN>\n" );
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