document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805763>Question 805763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 16 miles at a certain speed. The canoeist travels 3 miles on the second part of the trip at a speed 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 #485464 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=485464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 16 miles at a certain speed. The canoeist travels 3 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?\r<BR>\n" );
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document.write( "16 miles ------- speed ----------x<BR>\n" );
document.write( "3 miles----------speed-----------(x-5)\r<BR>\n" );
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document.write( "Time First part + time II part = 3\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "16/x  + 3/(x-5) =3\r<BR>\n" );
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document.write( "multiply equation by x(x-3)\r<BR>\n" );
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document.write( "16(x-5)+3x=3x(x-5)\r<BR>\n" );
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document.write( "16x-80+3x =3x^2-15x\r<BR>\n" );
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document.write( "3x^2-34x+80=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
document.write( "			iiiii				<BR>\n" );
document.write( "a=	3	,	b=	-34	,	c=	80<BR>\n" );
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document.write( "b^2-4ac=	1156	+	-960				<BR>\n" );
document.write( "b^2-4ac=	196						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%09196%09%29=%0914%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%09196%09%29=%0914%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >		<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	+	14	)/	6		<BR>\n" );
document.write( "x1=	8.00						<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=(	34	-14	) /	6			<BR>\n" );
document.write( "x2=	3.33						<BR>\n" );
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document.write( "canoe   	speed	8 mph				<BR>\n" );
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document.write( "m.ananth@hotmail.ca							\r<BR>\n" );
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document.write( " </SPAN>\n" );
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