document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526467>Question 526467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem solving:<BR>\n" );
document.write( "Riding a bike. Cesar enjoys riding his bike from Washington, DC to Bethesda, Maryland and back a total of 30 miles on the Capital Crescent path. The trip to Bethesda is uphill most of the distance. The bike's average speed going to Bethesda is 5 mph slower than the average speed returning to DC. If the round trip takes 4.5 hours, find the average speed in each direction.<BR>\n" );
document.write( "Please explain and show me the formula you plan to use to solve the problem.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348531 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=348531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Returning to DC speed = x mph<BR>\n" );
document.write( "Going to Bethesda x-5 mph\r<BR>\n" );
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document.write( "Distance between them is 30 miles\r<BR>\n" );
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document.write( "Time going to bethseda + time returning to Dc = 4.5 hours\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "15/x + 15/(x-5)= 4.5 hours\r<BR>\n" );
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document.write( "LCD = x(x-5)\r<BR>\n" );
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document.write( "Multiply by LCD \r<BR>\n" );
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document.write( "15(x-5)+15x=4.5 * x(x-5)<BR>\n" );
document.write( "15x-75+15x=4.5x^2-22.5x\r<BR>\n" );
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document.write( "4.5x^2-52.5x+75=0<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "9x^2-105x+150=0<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "3x^2-35x+50=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula								<BR>\n" );
document.write( "								<BR>\n" );
document.write( "a=	3	,	b=	-35	,	c=	50	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "b^2-4ac=	1225	+	-600					<BR>\n" );
document.write( "b^2-4ac=	625		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%09625%09%29=%0925%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%09625%09%29=%0925%09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=(	35	+	25	)/	6			<BR>\n" );
document.write( "x1=	10.00							<BR>\n" );
document.write( "x2=(	35	-25	) /	6				<BR>\n" );
document.write( "x2= 	1.67							\r<BR>\n" );
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document.write( "x=10 <BR>\n" );
document.write( "Speed returning = 10 mph<BR>\n" );
document.write( "Speed while going is 5 mph<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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