document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214655>Question 214655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you increase your rate by 25 mph and you are going 25 miles you get there 10 min earlier, what was your initial rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162092 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you increase your rate by 25 mph and you are going 25 miles you get there 10 min earlier, what was your initial rate?<BR>\n" );
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document.write( "d = rt<BR>\n" );
document.write( "25 = rt<BR>\n" );
document.write( "25 = (r+25)*(t- 1/6) [10 mins = 1/6 hour]<BR>\n" );
document.write( "rt = (r+25)*(t- 1/6) = rt + 25t - r/6 - 25/6<BR>\n" );
document.write( "6rt = 6rt + 150t - r - 25<BR>\n" );
document.write( "150t = r+25<BR>\n" );
document.write( "r = 25/t<BR>\n" );
document.write( "150t = (25/t) + 25<BR>\n" );
document.write( "150t^2 = 25 + 25t<BR>\n" );
document.write( "6t^2 - t - 1 = 0<BR>\n" );
document.write( "(3t + 1)*(2t - 1) = 0<BR>\n" );
document.write( "t = 1/2 hour (Ignore negative solution)<BR>\n" );
document.write( "r = 50 mph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );