document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057860>Question 1057860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A city bus finishes it 96 mile route in the same the same amount of time that a rural bus finishes its 144 mile route. The city bus averages 18mph slower than the rural bus how long does it take each bust to finish its route  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672858 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the speed of the rural bus.\r<BR>\n" );
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document.write( "The speed of the city bus is then represented by x - 18.\r<BR>\n" );
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document.write( "The time that each bus travels is calculated by dividing the distance by the speed.\r<BR>\n" );
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document.write( "The time that the city bus takes is: 96 / (x - 18)\r<BR>\n" );
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document.write( "The time that the rural buss takes is 144/x\r<BR>\n" );
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document.write( "Since the times are the same we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F%28x-18%29+=+144%2Fx ALIGN=MIDDLE  ALT=\"96%2F%28x-18%29+=+144%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This can be rearranged as:\r<BR>\n" );
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document.write( "96x = 144(x - 18)\r<BR>\n" );
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document.write( "96x = 144x - 2592\r<BR>\n" );
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document.write( "96x - 144x = -2592\r<BR>\n" );
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document.write( "-48x = -2592\r<BR>\n" );
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document.write( "x = -2592 / -48\r<BR>\n" );
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document.write( "x = 54 miles per hour\r<BR>\n" );
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document.write( "The time required is then:\r<BR>\n" );
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document.write( "144 / x = 144 / 54 = 2.67 hours\r<BR>\n" );
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document.write( "Each bus takes 2.67 hours to complete its route. </SPAN>\n" );
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