document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876246>Question 876246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would you be so kind to help me with following problem.<BR>\n" );
document.write( "Typist faund out that she could complete her typing work 3 hours earlier if she would speed up her typing and type 2 pages more each hour. If she could type 4 pages more each hour, her work could be completed 5 hours earlier. How many pages she must type and in what time?<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Niko </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528655 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=528655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x pages /hour be the rate to finish in time<BR>\n" );
document.write( "let t be the normal time required\r<BR>\n" );
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document.write( "I condition\r<BR>\n" );
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document.write( "(x+2)(t-3) =xt\r<BR>\n" );
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document.write( "xt-3x+2t-6=xt<BR>\n" );
document.write( "3x-2t=-6........................(1)\r<BR>\n" );
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document.write( "II condition<BR>\n" );
document.write( "(x+4)(t-5)=xt<BR>\n" );
document.write( "xt-5x+4t-20=xt\r<BR>\n" );
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document.write( "5x-4t=-20<BR>\n" );
document.write( ".....................................(2)\r<BR>\n" );
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document.write( "solve (1) & (2)\r<BR>\n" );
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document.write( "3	x		-2	t	=	-6	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "5	x		-4	t	=	-20	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-2						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-6	x		4	t	=	12		<BR>\n" );
document.write( "5	x		-4	t	=	-20		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-1	x				=	-8		<BR>\n" );
document.write( "/	-1							<BR>\n" );
document.write( "x	=	8      						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "3	x		-2	t	=	-6		<BR>\n" );
document.write( "24			-2	t	=	-6		<BR>\n" );
document.write( "			-2	t	=	-6		-24<BR>\n" );
document.write( "			-2	t	=	-30		<BR>\n" );
document.write( "				t	=	15		<BR>\n" );
document.write( "	8 pages /hour						<BR>\n" );
document.write( "	15 hours  actual time		<BR>\n" );
document.write( "m.ananth@hotmail.ca								<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );