document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903887>Question 903887</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Meg rowed her boat upstream a distance of 40 miles and then rowed back to the starting point. The total time of the trip was 14 hours. If the rate of the current was 3 mph, find the average speed of the boat relative to the water.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548376 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=548376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> boat   	speed	x   	mph		Time forward + time return = hours												<BR>\n" );
document.write( "current     	speed	3	mph														<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "against	current     	x-	3	mph													<BR>\n" );
document.write( "with	current     	x+	3	mph													<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Distance=	40	miles															<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Time against + time with  =			14	hours													<BR>\n" );
document.write( "t=d/r																	<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "40	/(	x   	+	3	)	+	40	/(x	-	3	)	=	14				<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "LCD =	(x	-	3	)	(	x   	+	3	)								<BR>\n" );
document.write( "40	*(	x   	-	3	)	+	40	(x	+	3	)	=	14	(x^2	-	9	)<BR>\n" );
document.write( "40	x   	-	-120	+	40	x   	+	120		=	14	(	x ^2		-	9	)<BR>\n" );
document.write( "80	x   	=	14	x ^2		-126											<BR>\n" );
document.write( "14	x ^2	-	-80	x   	-	126	=	0									<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula															5.12		<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "a=	14	,	b=	-80	,	c=	-126										<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "b^2-4ac=	6400	+	7056														<BR>\n" );
document.write( "b^2-4ac=	13456																<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%0913456%09%29=%09116%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%0913456%09%29=%09116%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >							379.94					<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;\" >																	0<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=(	80	+	116	)/	28												<BR>\n" );
document.write( "x1=	7.00																<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >																	<BR>\n" );
document.write( "x2=(	80	-116	) /	28													<BR>\n" );
document.write( "x2=	-1.29																<BR>\n" );
document.write( "Ignore negative value																	<BR>\n" );
document.write( "boat   	speed	7	mph														<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "m.ananth@hotmail.ca																	<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );