document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548934>Question 548934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem. \"While training for a biathlon race, Kevin covered a total distance fo 9km by swimming for 45 minutes and running for 20 minutes. The next day he swam for 30 minutes and ran for 40 minutes. Find his rates (in km/h) for swimming and running (assume these rate are contant). Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357302 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=357302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> swimming rate = s<BR>\n" );
document.write( "running rate =r<BR>\n" );
document.write( "d=r*t<BR>\n" );
document.write( "convert minutes to hours\r<BR>\n" );
document.write( "\n" );
document.write( "First day<BR>\n" );
document.write( "(3/4)s+(1/3)r = 9<BR>\n" );
document.write( "LCD = 12<BR>\n" );
document.write( "multiply equation by 12<BR>\n" );
document.write( "9s+4r=108...............(1)\r<BR>\n" );
document.write( "\n" );
document.write( "Day II<BR>\n" );
document.write( "(1/2)s+(2/3)r= 9<BR>\n" );
document.write( "LCD = 6<BR>\n" );
document.write( "multiply equation by 6<BR>\n" );
document.write( "3s+4r=54....................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "9	s	+	4	r	=	108	.............1		<BR>\n" );
document.write( "3	s	+	4	r	=	54	.............2		<BR>\n" );
document.write( "Eliminate 	r								<BR>\n" );
document.write( "multiply (1)by 		-1							<BR>\n" );
document.write( "Multiply (2) by		1							<BR>\n" );
document.write( "-9	s		-4	r	=	-108			<BR>\n" );
document.write( "3	s	+	4	r	=	54			<BR>\n" );
document.write( "Add the two equations									<BR>\n" );
document.write( "-6	s				=	-54.00			<BR>\n" );
document.write( "/	-6								<BR>\n" );
document.write( "s	=	9      							<BR>\n" );
document.write( "plug value of 			s	in (1)					<BR>\n" );
document.write( "9	s	+	4	r	=	108			<BR>\n" );
document.write( "81		+	4	r	=	108			<BR>\n" );
document.write( "			4	r	=	108		-81	<BR>\n" );
document.write( "			4	r	=	27			<BR>\n" );
document.write( "				r	=	6  3/ 4			<BR>\n" );
document.write( "swimming rate	9    km/h							<BR>\n" );
document.write( "running rate	6 3/4	km/h<BR>\n" );
document.write( "						<BR>\n" );
document.write( "m.ananth@hotmail.ca									\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );