document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155618>Question 1155618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alexa makes a journey of 430km, traveling 160km by bus and 270km by car. If the car<BR>\n" );
document.write( "averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the<BR>\n" );
document.write( "speed of the car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778235 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=778235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alexa makes a journey of 430km, traveling 160km by bus and 270km by car. If the car<BR>\n" );
document.write( "averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the\r<BR>\n" );
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document.write( "Time by bus + time by car = 5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2Fx++%2B270%2F%28x%2B10%29=+5 ALIGN=MIDDLE  ALT=\"160%2Fx++%2B270%2F%28x%2B10%29=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply by LCD														<BR>\n" );
document.write( "160	(x	+	10	)+	270	x	=	5	x(x+	10	)			<BR>\n" );
document.write( "160	x		+	1600		,+	270	*	x	=	5	x^2	+	50<BR>\n" );
document.write( "-5	X^2+	380	x	+	1600	=	0							<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula														<BR>\n" );
document.write( "														<BR>\n" );
document.write( "a=	-5	,b=	380	,c=	1600								-33.75	<BR>\n" );
document.write( "					b^2-4ac=								176400	<BR>\n" );
document.write( "b^2-4ac=	144400	-	-32000											<BR>\n" );
document.write( "b^2-4ac=	176400			<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09176400%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09176400%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	420							<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=(	-380	+	420	)/	-10							29.8258		<BR>\n" );
document.write( "x1=	-4													<BR>\n" );
document.write( "x2=(	-380	-420	) /	-10								415.0943156		<BR>\n" );
document.write( "x2=	80													<BR>\n" );
document.write( "Ignore negative value														<BR>\n" );
document.write( "x	=	80	mph	Bus		speed								<BR>\n" );
document.write( "90	mph=	Car		speed										<BR>\n" );
document.write( "														\r<BR>\n" );
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document.write( " </SPAN>\n" );
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