document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=545136>Question 545136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jimmy drove for 80 miles in heavy traffic.  He then reached the highway where he drove 260 miles at an average speed that was 25 miles per hour faster than the average speed he drove in heavy traffic.  If the total trip took 6 hours, determine his average speed in heavy traffic and on the highway. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355507 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=355507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With traffic	80	miles													<BR>\n" );
document.write( "Highway	240	miles													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "speed in heavy traffic	x mph											<BR>\n" );
document.write( "highway speed	x+25	mph											<BR>\n" );
document.write( "Total time		6	hours												<BR>\n" );
document.write( "time in heavy traffic		80	/	x											<BR>\n" );
document.write( "time in highway		240	/(x+25)								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Time first part + time second part =	6	hours											<BR>\n" );
document.write( "															<BR>\n" );
document.write( "(80/x)+(240/(x	+25)	=	6			<BR>\n" );
document.write( "LCD =	x*(x	+25	)							<BR>\n" );
document.write( "multiply the equation by the LCD															<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "80	*	(x+	25	)+	240		x				=	6			<BR>\n" );
document.write( "80	x+	2000	+	240	x				=	6	X^2		+	150	x<BR>\n" );
document.write( "170	x+	2000	=	6	X^2										<BR>\n" );
document.write( "6	X^2	-170	x	-2000			=	0							<BR>\n" );
document.write( "6	X^2+	-170	x+	-2000	=										<BR>\n" );
document.write( "/	6														<BR>\n" );
document.write( "1	X^2	-28.33	x	-333.33	=										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula															<BR>\n" );
document.write( "															<BR>\n" );
document.write( "a=	6	b=	-170	c=	-2000										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "b^2-4ac=	28900	-	48000												<BR>\n" );
document.write( "b^2-4ac=	76900			<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%0976900%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%0976900%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	277.31								<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >															<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >															<BR>\n" );
document.write( "x1=(	170	+	277.31	)/	12										<BR>\n" );
document.write( "x1=	37.28		37 2/7												<BR>\n" );
document.write( "x2=(	170	-277.31	) /	12											<BR>\n" );
document.write( "x2= 	-8.94		-8 8/9												<BR>\n" );
document.write( "Ignore negative value															<BR>\n" );
document.write( "x=37.28	mph	speed	in Heavy traffic<BR>\n" );
document.write( "speed inHighway = 25+37.28=62.28<BR>\n" );
document.write( "								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "CHECK															<BR>\n" );
document.write( "Time first part	+	Time second part													<BR>\n" );
document.write( "2.15	+	3.85	=	6											<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );