document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568284>Question 568284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a 540-mile trip, Andy averaged 5 miles per hour faster for the last 116 miles than he did for the first 424 miles. The entire trip took 10 hours. How fast did he travel for the first 424 miles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366893 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=366893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Second part x	x	mph 	424	miles						<BR>\n" );
document.write( "First part x+	5	mph 	116	miles						<BR>\n" );
document.write( "Time first part +Time second part =10	hours					<BR>\n" );
document.write( "116	/	(x 		5	)+(	424	/x)=	10		<BR>\n" );
document.write( "Multiply equation by the LCD	(x+5)x 					<BR>\n" );
document.write( "116	x+	424	(x+	5	)=	10				<BR>\n" );
document.write( "116	x+	424	x+	2120	=	10(x+5)*x	<BR>\n" );
document.write( "116	x+	424	x+	2120	=10X^2+50x<BR>\n" );
document.write( "10	X^2	-490	x 	-2120	=	0	<BR>\n" );
document.write( "/10<BR>\n" );
document.write( "x^2-49x-212=0\r<BR>\n" );
document.write( "\n" );
document.write( "Facorize\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-53x+4x-212=0<BR>\n" );
document.write( "x(x-53)+4(x-53)=0<BR>\n" );
document.write( "(x-53)(x+4)=0<BR>\n" );
document.write( "x=53 which is positive\r<BR>\n" );
document.write( "\n" );
document.write( "53 mph on the first leg			<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );