document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768096>Question 768096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two high speed trains are 240 miles apart and traveling toward each other. They meet in 2 hours. If one trains speed is 10 miles per hour faster than the other, find the speed of each train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468035 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=468035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = rate x time\r<BR>\n" );
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document.write( "Rate of one train = r<BR>\n" );
document.write( "Time of one train = 2 hours<BR>\n" );
document.write( "Distance of one train = 2r {distance = rate x time}\r<BR>\n" );
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document.write( "Rate of other train = r + 10 {it is 10mph faster than the other one}<BR>\n" );
document.write( "Time of other train = 2 hours<BR>\n" );
document.write( "Distance of other train = 2(r + 10) = 2r + 20 {distance = rate x time with distributive property}\r<BR>\n" );
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document.write( "2r + 2r + 20 = 240 {the combined distances of the two trains is 240}<BR>\n" );
document.write( "4r + 20 = 240 {combined like terms}<BR>\n" );
document.write( "4r = 220 {subtracted 20 from each side}<BR>\n" );
document.write( "r = 55 mph rate of one train {divided each side by 4}<BR>\n" );
document.write( "r + 10 = 65 mph rate of other train {substituted 55, in for r, into r + 10}\r<BR>\n" );
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document.write( "The rate of one train is 55 mph.<BR>\n" );
document.write( "The rate of the other train is 65 mph.<BR>\n" );
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