document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434479>Question 434479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during the first part of the trip, a canoeist travels 30 miles at a certain speed. the canoeist travels 16 miles on the second part of the trip at a speed 5mph slower.t he total time for the trip is 5 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 #301017 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=301017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First part	x	mph													<BR>\n" );
document.write( "Second Part 	-5	mph													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Distance first part	30	miles													<BR>\n" );
document.write( "Distance second part	16	miles													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "speed first part	x mph											<BR>\n" );
document.write( "speed second part =	x-5	mph											<BR>\n" );
document.write( "Total rowing time 5	hours												<BR>\n" );
document.write( "Time first part	30/x											<BR>\n" );
document.write( "Time second part 16/(x-5)						<BR>\n" );
document.write( "Time first part + time second part =5	hours	<BR>\n" );
document.write( "30/x+16	/(x-5)=	5			<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( "30*(x-5	)+16x=5			<BR>\n" );
document.write( "30x-150	+16x=5X^2-25x<BR>\n" );
document.write( "46x -150=5X^2-25x								<BR>\n" );
document.write( "5X^2-71x+150	=0							<BR>\n" );
document.write( "5x^2-71x+150=0									<BR>\n" );
document.write( "/5														<BR>\n" );
document.write( "X^2-14.2x+30=0									<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula			<BR>\n" );
document.write( "a=	1	b=	-14.2	c=	30				<BR>\n" );
document.write( "b^2-4ac=	201.64	-	-120					<BR>\n" );
document.write( "b^2-4ac=	81.64	,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%0981.64%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%0981.64%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	9.04		<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=(	14.2	+	9.04	)/	2										<BR>\n" );
document.write( "x1=	11.62														<BR>\n" );
document.write( "x2=(	14.2	-9.04	) /	2											<BR>\n" );
document.write( "x2= 	2.58	This is not possible\r<BR>\n" );
document.write( "\n" );
document.write( "Speed first part = 11.62 mph<BR>\n" );
document.write( "Speed second part = 6.62 mph													<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );