document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670533>Question 670533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pumps can drain a pool in 36 hours. The older pump alone takes 30 hours longer to drain the pool than the newer one does alone. How long does the newer pump take to drain the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416968 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=416968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> New pump	x		hours						<BR>\n" );
document.write( "Old pump	x+	30	hours						<BR>\n" );
document.write( "New pump	1/x of the job in	hour  							<BR>\n" );
document.write( "Old pump	1/(x+	30	)of the job in 1			hour  			<BR>\n" );
document.write( "Together they take 1/x+ 1/(x+30	)of the job in 1			hour  			<BR>\n" );
document.write( "					<BR>\n" );
document.write( "Together they do  1/36	of the job in 1	hour  			<BR>\n" );
document.write( "1/x	+	1/(x+30	)=	1/	36			<BR>\n" );
document.write( "LCD =x(x+30)   							<BR>\n" );
document.write( "(x+30)+x=1/36(x+30)x	<BR>\n" );
document.write( "( 2x+30	) *36	=	x^2+	30	x<BR>\n" );
document.write( "72	x+	1080	=	x^2+	30	x			<BR>\n" );
document.write( "x^2	-42	x	-1080	=	0				<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula									<BR>\n" );
document.write( "									<BR>\n" );
document.write( "a=	1    	b=	-42	c=	-1080				<BR>\n" );
document.write( "									<BR>\n" );
document.write( "b^2-4ac=	1764	-	-4320						<BR>\n" );
document.write( "b^2-4ac=	6084		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%096084%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%096084%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	78			<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=(	42	+	78	)/	2				<BR>\n" );
document.write( "x1=	60								<BR>\n" );
document.write( "x2=(	42	-	78	)/	2				<BR>\n" );
document.write( "x2=	-18								<BR>\n" );
document.write( "Ignore negative value									<BR>\n" );
document.write( "x	=	60 hours  Time taken by new pump </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );