document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028084>Question 1028084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance between two cities A and B is 140 km. A car driving from A to B left at the same time as a car driving from B to A. The cars met after one hour, then the first car reached city B 35 minutes later than the second car reached city A. Find the speed of each car. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643308 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=643308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let car from A meet at C after d km\r<BR>\n" );
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document.write( "It took 1 hour<BR>\n" );
document.write( "so speed of car A = d km/h\r<BR>\n" );
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document.write( "Speed of car B will be (140-d)\r<BR>\n" );
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document.write( "The distance car B has to travel is D km<BR>\n" );
document.write( "The distance car A has to travel is (140-d)\r<BR>\n" );
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document.write( "time carA - time car B to reach the opposite end = 35 minutes\r<BR>\n" );
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document.write( "(140-d)/d - d/(140-d) = 7/12\r<BR>\n" );
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document.write( "((140-d)^2 -d^2)/d(140-d) = 7/12<BR>\n" );
document.write( "19600 -280d+d^2-d^2= 7d(140-d)/12\r<BR>\n" );
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document.write( "19600-280d = (980d -7d^2)/12\r<BR>\n" );
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document.write( "235200-3360d=980d-7d^2\r<BR>\n" );
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document.write( "7d^2-4340d+235200=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	7    	b=	-4340	c=	235200		<BR>\n" );
document.write( "							<BR>\n" );
document.write( "b^2-4ac=	18835600	-	6585600				<BR>\n" );
document.write( "b^2-4ac=	12250000		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%0912250000%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%0912250000%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	3500	<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=(	4340	+	3500	)/	14		<BR>\n" );
document.write( "x1=	560						<BR>\n" );
document.write( "x2=(	4340	-	3500	)/	14		<BR>\n" );
document.write( "x2=	60						<BR>\n" );
document.write( "Ignore  value	560					<BR>\n" );
document.write( "speed of car A 60 km/h <BR>\n" );
document.write( "speed of car B =80 km/h \r<BR>\n" );
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document.write( " </SPAN>\n" );
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