document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807986>Question 807986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a journey, if the train increases its speed by 2km/h, then it will take 4 hours less to finish the trip. If it reduces its speed by 2km/h, then it will take 6 hours more. Find the distance that the train has to travel  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486664 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=486664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the distance traveled<BR>\n" );
document.write( "y the speed\r<BR>\n" );
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document.write( "x/y = t the right time\r<BR>\n" );
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document.write( "Increased speed<BR>\n" );
document.write( "x/(y+2) = t-4\r<BR>\n" );
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document.write( "decreased speed<BR>\n" );
document.write( "x/(y-2)=t+6\r<BR>\n" );
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document.write( "x/y =t\r<BR>\n" );
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document.write( "x=yt<BR>\n" );
document.write( "substitute x in (1)<BR>\n" );
document.write( "yt/(y+2) = t-4\r<BR>\n" );
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document.write( "yt=(y+2)(t-4)\r<BR>\n" );
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document.write( "yt=yt-4y+2t-8<BR>\n" );
document.write( "2t-4y=8..........................(1)\r<BR>\n" );
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document.write( "--<BR>\n" );
document.write( "x/(y-2)=t+6\r<BR>\n" );
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document.write( "yt/(y-2)=t+6\r<BR>\n" );
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document.write( "yt=(y-2)(t+6)<BR>\n" );
document.write( "yt=yt+6y-2t-12\r<BR>\n" );
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document.write( "2t-6y=-12...............................(2)\r<BR>\n" );
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document.write( "2    	t		-4    	y	=	8    	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "2    	t		-6    	y	=	-12    	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-3    						<BR>\n" );
document.write( "Multiply (2) by		2    						<BR>\n" );
document.write( "-6    	t		12    	y	=	-24    		<BR>\n" );
document.write( "4    	t		-12    	y	=	-24    		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-2    	t				=	-48    		<BR>\n" );
document.write( "/	-2    							<BR>\n" );
document.write( "t	=	24    						<BR>\n" );
document.write( "plug value of			t	in (1)				<BR>\n" );
document.write( "2    	t		-4    	y	=	8    		<BR>\n" );
document.write( "48    			-4    	y	=	8    		<BR>\n" );
document.write( "			-4    	y	=	8    		-48    <BR>\n" );
document.write( "			-4    	y	=	-40    		<BR>\n" );
document.write( "				y	=	10    		\r<BR>\n" );
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document.write( "x=yt<BR>\n" );
document.write( "x=24*10<BR>\n" );
document.write( "=240 miles\r<BR>\n" );
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document.write( " </SPAN>\n" );
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