document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476507>Question 476507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves station 1 at 7:00am for station 2, which is 1080 kilometers away. At 10:00am, a faster train leaves station 2 for station 1 and runs 15kph faster than the first train. When do the trains pass each other if this occurs midway between station 1 and 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326761 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=326761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Train 1 7.00 AM --- x kph<BR>\n" );
document.write( "Train 2 10.00 AM--- x+15 kph\r<BR>\n" );
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document.write( "Distance between two stations = 1080<BR>\n" );
document.write( "Midway = 540 km\r<BR>\n" );
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document.write( "AT 10.00 AM Train A is 540-3x from A\r<BR>\n" );
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document.write( "Distance between them at 10.00AM = 1080-3x<BR>\n" );
document.write( "combined speed = x+x+15=2x+15 kph\r<BR>\n" );
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document.write( "From 10:00 AM the time taken for them to meet is the same.<BR>\n" );
document.write( "Time taken by them to meet = Time taken by Train B to meet\r<BR>\n" );
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document.write( "(1080-3x)/(2x+15)= 540/(x+15)<BR>\n" );
document.write( "(x+15)(1080-3x)=540(2x+15)<BR>\n" );
document.write( "1080x-3x^2+16200 -45x= 1080x+8100<BR>\n" );
document.write( "-3x^2-45x+8100=0<BR>\n" );
document.write( "3x^2+45x-8100=0<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula				<BR>\n" );
document.write( "a=	-3	,b=	-45	,c=	8100		<BR>\n" );
document.write( "					b^2-4ac=		<BR>\n" );
document.write( "b^2-4ac=	2025	-	97200				<BR>\n" );
document.write( "b^2-4ac=	99225			<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%0999225%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%0999225%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	315<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=(	45	+	315	)/	-6		<BR>\n" );
document.write( "x1=	-60						<BR>\n" );
document.write( "x2=(	45	-315	) /	-6			<BR>\n" );
document.write( "x2= 	45						\r<BR>\n" );
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document.write( "Train 1 speed = 45 kph which is positive\r<BR>\n" );
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document.write( "Train A speed = 45 kph<BR>\n" );
document.write( "Train B speed = 60 kph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Time taken by train B to meet = 540/60 = 9 hours<BR>\n" );
document.write( "Train B starts at 10:00 AM<BR>\n" );
document.write( "They meet at 10 + 9 = 19:00 hours OR 7:00 PM\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( " </SPAN>\n" );
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