document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031806>Question 1031806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bob paddled against current for 2 hrs. and then with current for 1 hr. and rested.  Rick paddled against current for 2.5 hrs. and then with current for 1.5 hrs.  If they paddled a total of 9.5 miles against the current and 20.5 miles  with the current and the current is 3 mph.  How fast do they paddle in still water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646490 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=646490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bob paddled against current for 2 hrs. and then with current for 1 hr. and rested. <BR>\n" );
document.write( "let Bob's speed in still water be x<BR>\n" );
document.write( "with current his speed will be x+3  mph<BR>\n" );
document.write( "with current he paddled for (x+3) * 1\r<BR>\n" );
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document.write( "against current his speed will be x-3 mph<BR>\n" );
document.write( "against current he paddled f or (x-3)*2\r<BR>\n" );
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document.write( "Rick with current for 1.5 hrs.<BR>\n" );
document.write( " let Rick's speed in still water be y<BR>\n" );
document.write( "with current his speed will be y+3  mph<BR>\n" );
document.write( "with current he paddled for (y+3) * 1.5\r<BR>\n" );
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document.write( "Rick paddled against current for 2.5 hrs. \r<BR>\n" );
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document.write( "against current his speed will be y-3 mph<BR>\n" );
document.write( "against current he paddled f or (y-3)*2.5\r<BR>\n" );
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document.write( "If they paddled a total of 9.5 miles against the current<BR>\n" );
document.write( "(x-3)*2 +(y-3)*2.5 = 9.5<BR>\n" );
document.write( "2x-6 +2.5y -7.5 =9.5<BR>\n" );
document.write( "2x+2.5y = 23...........................(1)\r<BR>\n" );
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document.write( " and 20.5 miles  with the current\r<BR>\n" );
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document.write( "(x+3) * 1+ (y+3) * 1.5=20.5\r<BR>\n" );
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document.write( "x+3 +1.5y +4.5 =20.5\r<BR>\n" );
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document.write( "x+1.5y=13.......................(2)\r<BR>\n" );
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document.write( "2.00	x	+	2.50	y	=	23.00	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "1.00	x	+	1.50	y	=	13.00	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-1.50						<BR>\n" );
document.write( "Multiply (2) by		2.50						<BR>\n" );
document.write( "-3.00	x		-3.75	y	=	-34.50		<BR>\n" );
document.write( "2.50	x	+	3.75	y	=	32.50		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-0.50	x				=	-2.00		<BR>\n" );
document.write( "/	-0.50							<BR>\n" );
document.write( "x	=	4.00						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "2.00	x	+	2.50	y	=	23.00		<BR>\n" );
document.write( "8.00		+	2.50	y	=	23.00		<BR>\n" );
document.write( "			2.50	y	=	23.00		-8.00<BR>\n" );
document.write( "			2.50	y	=	15.00		<BR>\n" );
document.write( "				y	=	6.00		<BR>\n" );
document.write( "x=	4.00	mph	Bob's 	speed				<BR>\n" );
document.write( "y=	6.00	mph	Rick's	speed	\r<BR>\n" );
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document.write( "			<BR>\n" );
document.write( "m.ananth@hotmail.ca								\r<BR>\n" );
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document.write( "   </SPAN>\n" );
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