document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020294>Question 1020294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves Orlando at 2:00 PM. A second train leaves the same city in the same direction at 5:00 PM. The second train travels 54 mph faster than the first. If the second train overtakes the first at 8:00 PM, what is the speed of each of the two trains? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636210 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train leaves Orlando at 2:00 PM.<BR>\n" );
document.write( " A second train leaves the same city in the same direction at 5:00 PM.<BR>\n" );
document.write( " The second train travels 54 mph faster than the first.<BR>\n" );
document.write( " If the second train overtakes the first at 8:00 PM, what is the speed of each of the two trains?<BR>\n" );
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document.write( "When one train overtakes the other, they will have traveled the same distance<BR>\n" );
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document.write( "let s = the speed of the first train<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+54) = the speed of the 2nd train<BR>\n" );
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document.write( "From the information given we know. <BR>\n" );
document.write( "6 hrs is the travel time of the 1st train<BR>\n" );
document.write( "3 hrs is the travel time of the 2nd train<BR>\n" );
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document.write( "Write a distance equation, dist = time * speed<BR>\n" );
document.write( "6s = 3(s+54)<BR>\n" );
document.write( "6s = 3s + 162<BR>\n" );
document.write( "6s - 3s = 162<BR>\n" );
document.write( "3s = 162<BR>\n" );
document.write( "s = 162/3<BR>\n" );
document.write( "s = 54 mph is the speed of the 1st train<BR>\n" );
document.write( "then<BR>\n" );
document.write( "54 + 54 = 108 mph is the speed of the 2nd train<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "Makes sense; the 2nd train takes half as long as the first train because it goes twice as fast.  </SPAN>\n" );
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