document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548366>Question 548366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A camper paddles a canoe 2 miles downstream in a river that has a 2-mile-per-hour current. To return to camp, the canoeist travels upstream on a different branch of the river. It is 4 miles long and has a 1-mile-per-hour current. The total trip (both ways) takes 3 hours. Find the average speed of the canoe in still water. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356956 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=356956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> boat speed	x	mph																	<BR>\n" );
document.write( "current speed downstream	2	mph																	<BR>\n" );
document.write( "current speed upstream	1																		<BR>\n" );
document.write( "Distance with current	2	miles																	<BR>\n" );
document.write( "Distance against current	4	miles																	<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "speed with current	x	+	2	mph															<BR>\n" );
document.write( "speed against current	x		1	mph															<BR>\n" );
document.write( "Total   time =		3	hours																<BR>\n" );
document.write( "Time with current=		2	/(	x	+	2	)												<BR>\n" );
document.write( "time against current 		4	/	(	x	-1	)												<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "Time with  current + time against  =			3	hours															<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "2	/(	x	+	2	)	+	4	/(x	-1	)	=	3							<BR>\n" );
document.write( "LCD =	(	x	+	2	)*	(x	-1	)											<BR>\n" );
document.write( "multiply the equation by the LCD																			<BR>\n" );
document.write( "we get																			<BR>\n" );
document.write( "2*(x-1)+4(x+2)=3(x^2+1x-2)<BR>\n" );
document.write( "2x-2+4x+8=3X^2+	3x-6			<BR>\n" );
document.write( "6x+6=3x^2+3x+-6								<BR>\n" );
document.write( "3x^2-3x	-12=	0											<BR>\n" );
document.write( "3x^2-3x-12	=	0													<BR>\n" );
document.write( "/	3																		<BR>\n" );
document.write( "1	X^2	-1	x	-4	=	0													<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "	Find the roots of the equation by quadratic formula			 <BR>\n" );
document.write( "	a=	1	,b=	-1	,c=	-4													<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "	b^2-4ac=	1	+	16															<BR>\n" );
document.write( "	b^2-4ac=	17																	<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;\" >							4.12											<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( "	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-12%2B21%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x1=%28-12%2B21%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >																		<BR>\n" );
document.write( "	x1=(	1	+	4.12	)/	2													<BR>\n" );
document.write( "	x1=	2.56																	<BR>\n" );
document.write( "	x2=(	1	-4.12	) /	2														<BR>\n" );
document.write( "	x2= 	-1.56																	<BR>\n" );
document.write( "	Ignore negative value																		<BR>\n" );
document.write( "	boat speed	=	2.56	mph															<BR>\n" );
document.write( "	m.ananth@hotmail.ca																		<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );