document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560968>Question 560968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 41 miles at a certain speed. the canoeist travels 8 miles on the second part of the trip at 5 mph slower. the total time for the trip is 3 hours. 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 #364099 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=364099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first part	41	miles												<BR>\n" );
document.write( "second part	8	miles												<BR>\n" );
document.write( "														<BR>\n" );
document.write( "speed in first part	xmph										<BR>\n" );
document.write( "speed second part	x-5	mph										<BR>\n" );
document.write( "Total rowing time3	hours											<BR>\n" );
document.write( "Time first part	41/x								<BR>\n" );
document.write( "Time second part8/(x-5)							<BR>\n" );
document.write( "														<BR>\n" );
document.write( "Time first part + time second part =	3	hours										<BR>\n" );
document.write( "														<BR>\n" );
document.write( "41/x	+	8/(x-5)	=3		<BR>\n" );
document.write( "LCD =	x*(x-5	)						<BR>\n" );
document.write( "multiply the equation by the LCD														<BR>\n" );
document.write( "we get														<BR>\n" );
document.write( "41*(x-5	)+8x=3(x(x-5))<BR>\n" );
document.write( "41x-205	+8x=3X^2-15<BR>\n" );
document.write( "64x-205	=3X^2									<BR>\n" );
document.write( "3X^2-64x+205=	0						<BR>\n" );
document.write( "3	X^2+	-64	x+	205	=				<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula			<BR>\n" );
document.write( "a=	3	b=	-64	c=	205					b^2-4ac=	4096	-	-2460											<BR>\n" );
document.write( "b^2-4ac=	1636	<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%091636%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%091636%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	40.45							<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=(	64	+	40.45	)/	6									<BR>\n" );
document.write( "x1=	17.41												<BR>\n" );
document.write( "x2=(	64	-40.45	) /	6										<BR>\n" );
document.write( "x2= 	3.93												<BR>\n" );
document.write( "Ignore negative value														<BR>\n" );
document.write( "x	=	17.41	mph	\r<BR>\n" );
document.write( "\n" );
document.write( "first part speed = 17.41 mph<BR>\n" );
document.write( "second part speed = 12.41 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" );