document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498174>Question 498174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoiest travels 35 mls. at a certain speed. The canoiest travels 9 mls. on the second part of the trip. at a speed of 5 mls. slower. The total time for this trip is 2 hrs. 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 #336928 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=336928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first part	35	miles													<BR>\n" );
document.write( "second part	9	miles													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "speed in first part	x			mph											<BR>\n" );
document.write( "speed second part	x		-5	mph											<BR>\n" );
document.write( "Total rowing time		2	hours												<BR>\n" );
document.write( "Time first part		35	/	x											<BR>\n" );
document.write( "Time second part		9	/	(	x	-5	)								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Time first part + time second part =			2	hours											<BR>\n" );
document.write( "															<BR>\n" );
document.write( "35	/	x				+	9	/(x	-5	)	=	2			<BR>\n" );
document.write( "LCD =	(	x	+	0	)*	(x	-5	)							<BR>\n" );
document.write( "multiply the equation by the LCD															<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "35	*	(x	-5	)+	9		x				=	2			<BR>\n" );
document.write( "35	x	-175	+	9	x				=	2	X^2		+	-10	x<BR>\n" );
document.write( "54	x	-175	=	2	X^2										<BR>\n" );
document.write( "2	X^2	-54	x	175			=	0							<BR>\n" );
document.write( "2	X^2+	-54	x+	175	=										<BR>\n" );
document.write( "/	2														<BR>\n" );
document.write( "1	X^2	-27	x	87.5	=										<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=	1	b=	-27	c=	87.5										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "b^2-4ac=	729	-	-350												<BR>\n" );
document.write( "b^2-4ac=	379			<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09379%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09379%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	19.47								<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=(	27	+	19.47	)/	2										<BR>\n" );
document.write( "x1=	23.23	mph												<BR>\n" );
document.write( "x2=(	27	-19.47	) /	2											<BR>\n" );
document.write( "x2= 	3.77	mph\r<BR>\n" );
document.write( "\n" );
document.write( "													<BR>\n" );
document.write( "First Part speed = 23.23 mph<BR>\n" );
document.write( "Second part speed = 18.23 mph\r<BR>\n" );
document.write( "\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );