document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955275>Question 955275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The top speed of a Dodge Charger SRT8 is 33 mph less than the top speed of a Chevorlet Corvette z06. At their top speeds, a Corvette can travel 6 miles in the same time that a Charger can travel 5 miles. Find the top speed of each car.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583630 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let d = speed of the charger.<BR>\n" );
document.write( "let c = speed of the corvetter.\r<BR>\n" );
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document.write( "d = c - 133\r<BR>\n" );
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document.write( "this means that the speed of the charger is 33 miles per hour less than the speed of the corvette.\r<BR>\n" );
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document.write( "rate * time = distance\r<BR>\n" );
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document.write( "for the charger, that becomes d * t = 5\r<BR>\n" );
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document.write( "for the corvette, that becomes c * t = 6\r<BR>\n" );
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document.write( "since d = c - 33, then for the charger, that becomes (c - 33) * t = 5\r<BR>\n" );
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document.write( "solve both equations for t to get:\r<BR>\n" );
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document.write( "t = 5 / (c - 33) for the charger.\r<BR>\n" );
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document.write( "t = 6 / c for the corvette.\r<BR>\n" );
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document.write( "substitute 5 / c - 33) for t in the second equation and you get:\r<BR>\n" );
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document.write( "5 / (c - 33) = 6 / c\r<BR>\n" );
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document.write( "cross multiply to get:\r<BR>\n" );
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document.write( "5 * c = 6 * (c - 33)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "5 * c = 6 * c - 6 * 33\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "5 * c = 6 * c - 198\r<BR>\n" );
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document.write( "solve for c to get c = 198\r<BR>\n" );
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document.write( "solve for d to get d = 198 - 33 = 165\r<BR>\n" );
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document.write( "top speed for the corvette is 198 miles per hour.\r<BR>\n" );
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document.write( "top speed for the charger is 165 miles per hour.\r<BR>\n" );
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