document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871050>Question 871050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While traveling to and from a certain destination, you realized increasing your speed by 10 mph saved 1 hours on your return. If the total distance of the roundtrip was 600 miles, find the speed driven while returning. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525286 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=525286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> speed to go there	x					<BR>\n" );
document.write( "speed returning	x	+	10			<BR>\n" );
document.write( "						<BR>\n" );
document.write( "Distance = same		300	km   			<BR>\n" );
document.write( "original time – time with increased speed =					1	hour<BR>\n" );
document.write( "t=d/t						\r<BR>\n" );
document.write( "\n" );
document.write( "300	/	x	-	300	/	(	x	+	10	)	=	1				<BR>\n" );
document.write( "LCD=	x	(	x	+	10	)										<BR>\n" );
document.write( "multiply by LCD																<BR>\n" );
document.write( "300	(	x	+	10	)	-	300	x	=	1	x	(	x	+	10	)<BR>\n" );
document.write( "300	x	+	3000	-	300	x	=	1	X^2	+	10	x				<BR>\n" );
document.write( "3000	=	1	X^2	+	10	x										<BR>\n" );
document.write( "1	X^2		+	10	x	-	-3000	=	0							<BR>\n" );
document.write( "Find roots of the quadratic equation																<BR>\n" );
document.write( "a=	1		b=	10		c=	-3000									<BR>\n" );
document.write( "																<BR>\n" );
document.write( "x1=	(	-10	+	sqrt(		100	-	12000	))	/	2					<BR>\n" );
document.write( "x1=(	-10	+	110	)/	2											<BR>\n" );
document.write( "x1=	50															<BR>\n" );
document.write( "																<BR>\n" );
document.write( "x2=	(	-7	-	sqrt(		49	-	20	)	/	2					<BR>\n" );
document.write( "x2=(	-10	-	110	)/	2											<BR>\n" );
document.write( "x2=	-60									ignore negative value\r<BR>\n" );
document.write( "\n" );
document.write( "to go there speed = 50 	mph\r<BR>\n" );
document.write( "\n" );
document.write( "returning speed = 60 mph					<BR>\n" );
document.write( "																<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );