document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785722>Question 785722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a recent trip, a trucker traveled 300 mi at a constant rate. Because of improved road conditions, the trucker then increased the speed by 10 mph. An additional 240 mi was traveled at the increased rate. The entire trip took 16 h. Find the rate of the trucker for the first 300 mi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477705 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=477705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On a recent trip, a trucker traveled 300 mi at a constant rate. Because of improved road conditions, the trucker then increased the speed by 10 mph. An additional 240 mi was traveled at the increased rate. The entire trip took 16 h. Find the rate of the trucker for the first 300 mi\r<BR>\n" );
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document.write( "let the rate for first 300 miles be x  m/h\r<BR>\n" );
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document.write( "speed increased to x+10 miles/h\r<BR>\n" );
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document.write( "d=rt\r<BR>\n" );
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document.write( "Total distance traveled = 540 miles\r<BR>\n" );
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document.write( "300/x + 240/(x+10) = 16\r<BR>\n" );
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document.write( "multiply by x(x+10)\r<BR>\n" );
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document.write( "300(x+10)+240x=16x(x+10)\r<BR>\n" );
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document.write( "300x+3000+240x=16x^2+160x\r<BR>\n" );
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document.write( "16x^2-380x-3000=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=	16	,	b=	-380	,	c=	-3000<BR>\n" );
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document.write( "b^2-4ac=	144400	+	192000				<BR>\n" );
document.write( "b^2-4ac=	336400						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%09336400%09%29=%09580%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%09336400%09%29=%09580%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=(	380	+	580	)/	32		<BR>\n" );
document.write( "x1=	30						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x2=(	380	-580	) /	32			<BR>\n" );
document.write( "x2=	-6.25						<BR>\n" );
document.write( "Ignore negative value							<BR>\n" );
document.write( "Truc   	speed	30	mph				<BR>\n" );
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document.write( "m.ananth@hotmail.ca							\r<BR>\n" );
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document.write( " </SPAN>\n" );
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