document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=781632>Question 781632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains are exactly 330 miles apart. They travel toward each other and meet in 3 hours. The speed of the trains differ by 20 mph. What are 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 #476003 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=476003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = rate x time<BR>\n" );
document.write( "D = rt\r<BR>\n" );
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document.write( "one train<BR>\n" );
document.write( "rate = r {unknown}<BR>\n" );
document.write( "time = 3 {they met in 3 hours}<BR>\n" );
document.write( "d = 3r {distance = rate x time}\r<BR>\n" );
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document.write( "other train<BR>\n" );
document.write( "rate = r + 20 {their speeds differ by 20}<BR>\n" );
document.write( "time = 3 {they met in 3 hours}<BR>\n" );
document.write( "d = 3(r + 20) = 3r + 60 {distance = rate x time, used distributive property}\r<BR>\n" );
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document.write( "3r + 60 + 3r = 330 {their combined distances, together, equals 330}<BR>\n" );
document.write( "6r + 60 = 330 {combined like terms}<BR>\n" );
document.write( "6r = 270 {subtracted 60 from each side}<BR>\n" );
document.write( "r = 45 {divided each side by 6}<BR>\n" );
document.write( "r + 20 = 65 {substituted 45, in for r, into r + 20}\r<BR>\n" );
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document.write( "the rate of one train is 45 mph<BR>\n" );
document.write( "the rate of the other train is 65 mph<BR>\n" );
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