document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641859>Question 641859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train 1 leaves city A at 10:00 a.m. heading towards city B, 300 miles to the east, at 45 miles per hour. At 11:00 a.m., train 2 leaves city A from city B at 55 miles per hour. Which train will complete the trip first and when will it pass the other?\r<BR>\n" );
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document.write( "I got this so far:<BR>\n" );
document.write( "R*T = D<BR>\n" );
document.write( "(45)*(1) = 45 mi head start for train 1\r<BR>\n" );
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document.write( "(45)*T = (300 - 45)<BR>\n" );
document.write( "T = 5.7 hrs for train 1\r<BR>\n" );
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document.write( "(55)*T = 300<BR>\n" );
document.write( "T = 5.45 hrs for train 2\r<BR>\n" );
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document.write( "so train 2 completes the trip first but I don't know when it will pass train 1. Please help me!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403880 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=403880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Train 1 leaves city A at 10:00 a.m. heading towards city B, 300 miles to the<BR>\n" );
document.write( " east, at 45 miles per hour.<BR>\n" );
document.write( "At 11:00 a.m., train 2 leaves city A from city B at 55 miles per hour.<BR>\n" );
document.write( " Which train will complete the trip first and when will it pass the other<BR>\n" );
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document.write( "Let t = travel time of Train 2; (started at 11 AM)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = travel time of Train 1 (left one hr earlier)<BR>\n" );
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document.write( "You are right about which train will arrive first<BR>\n" );
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document.write( "\"when will they pass each other\"<BR>\n" );
document.write( "When they meet, the sum of the distances traveled will = 300 mi<BR>\n" );
document.write( "55t + 45(t+1) = 300<BR>\n" );
document.write( "55t + 45t + 45 = 300<BR>\n" );
document.write( "100t = 300-45<BR>\n" );
document.write( "100t = 255<BR>\n" );
document.write( "t = 255/100<BR>\n" );
document.write( "t = 2.55 hrs which is 2 + .55(60) = 2:33, from 11 am; 1:33 PM they meet </SPAN>\n" );
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