document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871931>Question 871931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Paul drove to the city, 200 miles away, and returned home at the speed which was 10 mph faster than on his trip to the city. If the trip to the city was one hour longer than his return trip, what was Paul's speed from home to the city? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525800 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=525800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> going	speed	x				<BR>\n" );
document.write( "returning	speed	x	+	10		<BR>\n" );
document.write( "						<BR>\n" );
document.write( "	Distance = same		200	miles	1	<BR>\n" );
document.write( "	original time – time with increased speed =					1<BR>\n" );
document.write( "	t=d/t					<BR>\n" );
document.write( "200	/	x	-	200	/	(	x	+	10	)	=	1				<BR>\n" );
document.write( "LCD=	x	(	x	+	10	)										<BR>\n" );
document.write( "multiply by LCD																<BR>\n" );
document.write( "200	(	x	+	10	)	-	200	x	=	1	x	(	x	+	10	)<BR>\n" );
document.write( "200	x	+	2000	-	200	x	=	1	X^2	+	10	x				<BR>\n" );
document.write( "2000	=	1	X^2	+	10	x										<BR>\n" );
document.write( "1	X^2		+	10	x	-	-2000	=	0							<BR>\n" );
document.write( "Find roots of the quadratic equation																<BR>\n" );
document.write( "a=	1		b=	10		c=	-2000									<BR>\n" );
document.write( "																<BR>\n" );
document.write( "x1=	(	-10	+	sqrt(		100	-	8000	))	/	2					<BR>\n" );
document.write( "x1=(	-10	+	90	)/	2											<BR>\n" );
document.write( "x1=	40															<BR>\n" );
document.write( "																<BR>\n" );
document.write( "x2=	(	-7	-	sqrt(		49	-	20	)	/	2					<BR>\n" );
document.write( "x2=(	-10	-	90	)/	2											<BR>\n" );
document.write( "x2=	-50															<BR>\n" );
document.write( "ignore negative\r<BR>\n" );
document.write( "\n" );
document.write( "going speed = 40 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );