document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730994>Question 730994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a canoe trip, Ken covered 60 km at a certain speed. He then traveled 24 km at a speed that was 4 km/h slower. If the total time for the trip was 8 hr, what was the speed on each part of the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446978 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=446978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First Part	60	km													<BR>\n" );
document.write( "Second Part	24	km													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "First Part	x			mph											<BR>\n" );
document.write( "Second Part	x		-4	mph											<BR>\n" );
document.write( "Total time		8	hours												<BR>\n" );
document.write( "First Part	time 	60	/	x											<BR>\n" );
document.write( "Second Part	time 	24	/	(	x	-4	)								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Time first part + time second part =			8	hours											<BR>\n" );
document.write( "															<BR>\n" );
document.write( "60	/	x		+	24	/(x	-4	)	=	8					<BR>\n" );
document.write( "LCD =	(	x)*	(x	-4	)							<BR>\n" );
document.write( "multiply the equation by the LCD															<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "								=	8			<BR>\n" );
document.write( "60	x	-240	+	)+	24		x		=	8	X^2			-32	x<BR>\n" );
document.write( "116	x-240	=	8	X^2		=	0							<BR>\n" );
document.write( "8	X^2	-116	x+	240			=	0							<BR>\n" );
document.write( "8	X^2+	-116	x+	240	=										<BR>\n" );
document.write( "/	8														<BR>\n" );
document.write( "8	X^2	-116	x+	240	=0										<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=	8    	b=	-116	c=	240										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "b^2-4ac=	13456	-	7680												<BR>\n" );
document.write( "b^2-4ac=	5776		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%095776%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%095776%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	76				OK					5<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=(	116	+	76	)/	16										<BR>\n" );
document.write( "x1=	12														<BR>\n" );
document.write( "x2=(	116	-	76	)/	16										<BR>\n" );
document.write( "x2=	2.5														<BR>\n" );
document.write( "Ignore 2.5															<BR>\n" );
document.write( "x	=	12	kph												 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );