document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027372>Question 1027372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Distance between two stations X and Y is 220 km. Trains P and Q leave station X at 8 am and 9.51 am respectively at the speed of 25 km/hr and 20 km/hr respectively for journey towards Y. Train R leaves station Y at 11.30 am at a speed of 30 km/hr for journey towards X. When and where will P be at equal<BR>\n" );
document.write( "distance from Q and R ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642711 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=642711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=trains\">\r<BR>\n" );
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document.write( "The time taken by P, Q, R to reach some point enroute is the same. <BR>\n" );
document.write( "They start at different times and speeds\r<BR>\n" );
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document.write( "Equate time of P & Q<BR>\n" );
document.write( "Equate time of P & r\r<BR>\n" );
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document.write( "and solve the equations\r<BR>\n" );
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document.write( "P &Q\r<BR>\n" );
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document.write( "(x+d)/25 = x/20 + 1 51/60\r<BR>\n" );
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document.write( "(x+d)/25 -x/20 = 37/20\r<BR>\n" );
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document.write( "20x+20d -25x = 37*20*25/20\r<BR>\n" );
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document.write( "-5x +20d = 925<BR>\n" );
document.write( "/-5<BR>\n" );
document.write( "x-4d= -185.......................(1)\r<BR>\n" );
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document.write( "P& R<BR>\n" );
document.write( "(x+d)/25 = (220-x-2d)/30  +7/2\r<BR>\n" );
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document.write( "(x+d)/25 -(220-x-2d)/30 =7/2\r<BR>\n" );
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document.write( "30x+30d -25*220+25x+50d = 30*25*7/2\r<BR>\n" );
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document.write( "55x+80d =8125......................(2)\r<BR>\n" );
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document.write( "V1.00	x		-4.00	d	=	-185.00	.............1		<BR>\n" );
document.write( "Total value									<BR>\n" );
document.write( "55.00	x	+	80.00	d	=	8125.00	.............2		<BR>\n" );
document.write( "Eliminate	y								<BR>\n" );
document.write( "multiply (1)by		20.00							<BR>\n" );
document.write( "Multiply (2) by		1.00							<BR>\n" );
document.write( "20.00	x		-80.00	d	=	-3700.00			<BR>\n" );
document.write( "55.00	x	+	80.00	d	=	8125.00			<BR>\n" );
document.write( "Add the two equations									<BR>\n" );
document.write( "75.00	x				=	4425.00			<BR>\n" );
document.write( "/	75.00								<BR>\n" );
document.write( "x	=	59.00							<BR>\n" );
document.write( "plug value of			x	in (1)					<BR>\n" );
document.write( "1.00	x		-4.00	d	=	-185.00			<BR>\n" );
document.write( "59.00			-4.00	d	=	-185.00			<BR>\n" );
document.write( "			-4.00	d	=	-185.00		-59.00	<BR>\n" );
document.write( "			-4.00	d	=	-244.00			<BR>\n" );
document.write( "				d	=	61.00			\r<BR>\n" );
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document.write( "you can calculate real time easily \r<BR>\n" );
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document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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