document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918996>Question 918996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains make the same 225 mph run. Since one train travels 20 mph faster than the other one it arrive 3 hours earlier. What is the speed of the trains </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557416 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=557416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two trains make the same 225 mph run. Since one train travels 20 mph faster than the other one it arrive 3 hours earlier. What is the speed of the trains<BR>\n" );
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document.write( "r = slower speed<BR>\n" );
document.write( "3 + 225/r = 225/(r-20)<BR>\n" );
document.write( "(3r+225)/r = 225/(r-20)<BR>\n" );
document.write( "225r = (3r+225)*(r-20)<BR>\n" );
document.write( "75r = (r+75)*(r-20)<BR>\n" );
document.write( "75r = r^2 + 95r - 1500<BR>\n" );
document.write( "r^2 + 20r - 1500 = 0<BR>\n" );
document.write( "(r + 50)*(r - 30) = 0<BR>\n" );
document.write( "r = 30 mi/hr<BR>\n" );
document.write( "--> 30 & 50 mi/hr<BR>\n" );
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document.write( "225/30 = 7.5 hours<BR>\n" );
document.write( "225/50 = 4.5 hours </SPAN>\n" );
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