document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109160>Question 109160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Taxi A travels 12mph faster than taxi B. Taxi A travels 140 miles in the same time it takes taxi B to travel 108 miles. Find the speed of each taxi. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79650 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;t=d/r and r=d/t\r<BR>\n" );
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document.write( "Let r=rate of taxi B<BR>\n" );
document.write( "Then r+12=rate of taxi A\r<BR>\n" );
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document.write( "Time it takes taxi A to travel 140 mi=140/(r+12)<BR>\n" );
document.write( "Time it takes taxi B to travel 108 mi=108/r\r<BR>\n" );
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document.write( "Now we are told that the above two times are equal.  So:\r<BR>\n" );
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document.write( "140/(r+12)=108/r  multiply both sides by r(r+12) to get rid of fractions. (Note: cross-multiplying yields the same result)\r<BR>\n" );
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document.write( "140r=108(r+12)  get rid of parens (distributive law)\r<BR>\n" );
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document.write( "140r=108r+1296  subtract 108r from both sides\r<BR>\n" );
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document.write( "140r-108r=108r+1296-108r collect like terms\r<BR>\n" );
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document.write( "32r=1296  divide both sides by 32\r<BR>\n" );
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document.write( "r=40.5 mph-----------------------------------speed of taxi B<BR>\n" );
document.write( "r+12=40.5+12=52.5 mph-------------------------speed of taxi A\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "140/(52.5)=108/(40.5)\r<BR>\n" );
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document.write( "2.666666667=2.666666667\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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