document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135050>Question 1135050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Betty ann drove from city A TO B a distance of 250 miles she increased her speed by 10 mi/hr for the 360 mile trip from B TO C.\r<BR>\n" );
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document.write( "if the total trip took 11 hours what was her speed  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 #752572 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 250 = r*t\r<BR>\n" );
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document.write( "360 = (r+10)*(11-t)\r<BR>\n" );
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document.write( "360 =  11r -rt + 110 - 10t\r<BR>\n" );
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document.write( "360 =  11r - 250 + 110 - 10t\r<BR>\n" );
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document.write( "360 = 11r -140 - 10t\r<BR>\n" );
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document.write( "We want to find r. Solve t in terms of r.\r<BR>\n" );
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document.write( "250/r = t\r<BR>\n" );
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document.write( "360 = 11r - 140 - 10(250/r)\r<BR>\n" );
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document.write( "360 = 11r - 140 - 2500/r\r<BR>\n" );
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document.write( "360 = (11r^2 - 140r - 2500)/r\r<BR>\n" );
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document.write( "360r = 11r^2 - 140r - 2500\r<BR>\n" );
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document.write( "11r^2 - 500r - 2500 = 0\r<BR>\n" );
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document.write( "(500 +- sqrt((-500)^2 - 4(11)(-2500))) / 22\r<BR>\n" );
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document.write( "(500 +- sqrt(360000))/22\r<BR>\n" );
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document.write( "(500 + 600) / 22 = 1100 / 22 = 50\r<BR>\n" );
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document.write( "Hence, 50 mph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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