document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83831>Question 83831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane travels from city A to city B and it takes two hours...on the second trip the plane travels from city A to City B and it flys 10mph slower and it takes 2 1/2 hours...what is the distance from city A to city B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60388 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=60388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let d=distance from city A to city B<BR>\n" );
document.write( "r=rate on first trip<BR>\n" );
document.write( "(r-10)=rate on second trip\r<BR>\n" );
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document.write( "distance(d) equals rate(r) times time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "First trip:\r<BR>\n" );
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document.write( "d=rt=r(2) or <BR>\n" );
document.write( "d=2r\r<BR>\n" );
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document.write( "Second trip:\r<BR>\n" );
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document.write( "d=(r-10)(2.5)\r<BR>\n" );
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document.write( "Since the distance travelled on the first and second trip is the same, we have:\r<BR>\n" );
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document.write( "2r=(r-10)(2.5)  get rid of parens\r<BR>\n" );
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document.write( "2r=2.5r-25  subtract 2.5r from both sides<BR>\n" );
document.write( "2r-2.5r=2.5r-2.5r-25  collect like terms\r<BR>\n" );
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document.write( "-0.5r=-25  divide both sides by -0.5\r<BR>\n" );
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document.write( "r=50 mph but we know that:\r<BR>\n" );
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document.write( "d=2r or d=2*50=100 mi------------distance between city A and City B\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "First trip:\r<BR>\n" );
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document.write( "2*50=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2.5)(40)=100<BR>\n" );
document.write( "100=100\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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