document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302973>Question 302973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Smith travels 45 miles going East from the center of the town and jones travels 70 miles going west from the same point. If Jones averages 5 miles per hour more than Smith and his trip1/2 hour longer than Smith. How fast was each of them traveling. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217177 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=217177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Smith travels 45 miles going East from the center of the town and jones travels 70 miles going west from the same point. If Jones averages 5 miles per hour more than Smith and his trip1/2 hour longer than Smith. How fast was each of them traveling.\r<BR>\n" );
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document.write( "let smith's rate be x mph\r<BR>\n" );
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document.write( "time taken by smith = 45/x hours\r<BR>\n" );
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document.write( "jones's rate = x+5 mph\r<BR>\n" );
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document.write( "time taken by jones = 70/ x+5\r<BR>\n" );
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document.write( "70 /x+5 - 45/x = 1/2\r<BR>\n" );
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document.write( "70x-45x-225=1/2 *x(x+5 )\r<BR>\n" );
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document.write( "2(25x-225)=x^2+5x\r<BR>\n" );
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document.write( "50x-450=x^2+5x\r<BR>\n" );
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document.write( "x^2-50x+5x+450=0\r<BR>\n" );
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document.write( "x^2-45x+450=0 \r<BR>\n" );
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document.write( "x^2-30x-15x+450=0\r<BR>\n" );
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document.write( "x(x-30)-15(x-30)=0\r<BR>\n" );
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document.write( "(x-30)(x-15)=0\r<BR>\n" );
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document.write( "x= 30 OR 15  mph\r<BR>\n" );
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document.write( "Ananth\r<BR>\n" );
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document.write( " </SPAN>\n" );
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