document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263758>Question 263758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution.\r<BR>\n" );
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document.write( "Problem:<BR>\n" );
document.write( "Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 114 miles in the same time Dana travels 96 miles. If Chuck's rate of travel is 6mph more that Dana's, then at what rate does Chuck travels?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194344 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=194344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution.\r<BR>\n" );
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document.write( "Problem:<BR>\n" );
document.write( "Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 114 miles in the same time Dana travels 96 miles. If Chuck's rate of travel is 6mph more that Dana's, then at what rate does Chuck travels? \r<BR>\n" );
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document.write( "Let dana's speed be x mph\r<BR>\n" );
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document.write( "Chuck's rate will b x+6 mph\r<BR>\n" );
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document.write( "time taken by chuck = 114 / x+6\r<BR>\n" );
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document.write( "time taken by dana = 96/x\r<BR>\n" );
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document.write( "The times are same\r<BR>\n" );
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document.write( "114/  x+6 = 96/x\r<BR>\n" );
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document.write( "114/96  = x+6  / x\r<BR>\n" );
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document.write( "114x /96= x+6\r<BR>\n" );
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document.write( "114x = 96x+576\r<BR>\n" );
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document.write( "18x= 576<BR>\n" );
document.write( "x=32\r<BR>\n" );
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document.write( "Chuck travels at 38 mph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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