document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470798>Question 470798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 73 miles at a certain speed. The canoeist travels 14 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?\r<BR>\n" );
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document.write( "1.Speed of 1st part of the trip?\r<BR>\n" );
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document.write( "2.Speed of 2nd 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 #322938 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=322938\">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( "first part	73	miles										<BR>\n" );
document.write( "second part	14	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		3	hours									<BR>\n" );
document.write( "Time first part		73	/	x								<BR>\n" );
document.write( "Time second part		14	/	(	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( "73/x+14/(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( "73*(x-5)+14x=3<BR>\n" );
document.write( "73x-365	+14x=	3X^2-15x	<BR>\n" );
document.write( "102x-365	=3x^2							<BR>\n" );
document.write( "3X^2-102	x+365			=	0				<BR>\n" );
document.write( "3x^2-102	x+365=0						<BR>\n" );
document.write( "/3											<BR>\n" );
document.write( "x^2-34x+	121.67=	0						<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=	-34	c=	121.67							<BR>\n" );
document.write( "												<BR>\n" );
document.write( "b^2-4ac=	1156	-	-486.68									<BR>\n" );
document.write( "b^2-4ac=	669.32<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09669.32%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09669.32%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	25.87					<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=(	34	+	25.87	)/	2							<BR>\n" );
document.write( "x1=	29.94											<BR>\n" );
document.write( "x2=(	34	-25.87	) /	2								<BR>\n" );
document.write( "x2= 	4.06		<BR>\n" );
document.write( "																			<BR>\n" );
document.write( "x	=	29.94	mph first part<BR>\n" );
document.write( "24.94 mph second part						<BR>\n" );
document.write( "m.ananth@hotmail.ca												<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );