document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039533>Question 1039533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up a table and solve using an Algebraic Equation. \r<BR>\n" );
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document.write( "A passenger train can travel 245 miles in the same amount of time that it takes a freight train to travel 200 miles. If the rate of the passenger train is 15 MPH faster than the rate of the freight train. Find train.\r<BR>\n" );
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document.write( "I have Let r=rate of the freight train<BR>\n" );
document.write( "r+15 rate of the passenger train.<BR>\n" );
document.write( "t= time<BR>\n" );
document.write( "d=rt<BR>\n" );
document.write( "Passenger train <BR>\n" );
document.write( "245=r+15(t)<BR>\n" );
document.write( "245=rt+15t\r<BR>\n" );
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document.write( "Freight Train:<BR>\n" );
document.write( "200=rt\r<BR>\n" );
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document.write( "245=200+15t= 45=15t  = 3<BR>\n" );
document.write( "200=r(3)= 66.7  \r<BR>\n" );
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document.write( "66.7  freight train<BR>\n" );
document.write( "81.7  passenger train.\r<BR>\n" );
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document.write( "Is this correct ?\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654305 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=654305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A passenger train can travel 245 miles in the same amount of time that it takes a freight train to travel 200 miles. If the rate of the passenger train is 15 MPH faster than the rate of the freight train.<BR>\n" );
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document.write( "r*t = 200<BR>\n" );
document.write( "(r+15)*t = 245<BR>\n" );
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document.write( "r*t = 200 --> t = 200/r<BR>\n" );
document.write( "Sub for t<BR>\n" );
document.write( "(r+15)*(200/r) = 245<BR>\n" );
document.write( "(r+15)*200 = 245r<BR>\n" );
document.write( "245r = 200r + 3000<BR>\n" );
document.write( "45r = 3000<BR>\n" );
document.write( "r = 66.67<BR>\n" );
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document.write( "Looks right.\r<BR>\n" );
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document.write( "I have Let r=rate of the freight train<BR>\n" );
document.write( "r+15 rate of the passenger train.<BR>\n" );
document.write( "t= time<BR>\n" );
document.write( "d=rt<BR>\n" );
document.write( "Passenger train <BR>\n" );
document.write( "245=r+15(t)<BR>\n" );
document.write( "245=rt+15t\r<BR>\n" );
document.write( "\n" );
document.write( "Freight Train:<BR>\n" );
document.write( "200=rt\r<BR>\n" );
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document.write( "245=200+15t= 45=15t  = 3<BR>\n" );
document.write( "200=r(3)= 66.7  \r<BR>\n" );
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document.write( "66.7  freight train<BR>\n" );
document.write( "81.7  passenger train.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );