document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295141>Question 295141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bullet train travels 30 mph faster than a passenger train, and it takes the bullet train 3 hours less time to travel 400 miles. How long does it take the passenger train to make the trip. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212751 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bullet train travels 30 mph faster than a passenger train, and it takes the bullet train 3 hours less time to travel 400 miles. How long does it take the passenger train to make the trip.\r<BR>\n" );
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document.write( "let rate of the passenger train be x mph\r<BR>\n" );
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document.write( "the rate of the bullet train = x+ 30 mph\r<BR>\n" );
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document.write( "Distance = 400 miles\r<BR>\n" );
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document.write( "time taken by passenger train = 400 / x\r<BR>\n" );
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document.write( "time taken by bullet train = 400 / x+30<BR>\n" );
document.write( "This takes 3 hours less.\r<BR>\n" );
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document.write( "400/x+30  +3 = 400/x\r<BR>\n" );
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document.write( "400/x+30 -400/x =-3\r<BR>\n" );
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document.write( "400x -400(x+30) = -3x(x+30)\r<BR>\n" );
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document.write( "400x-400x-12000 = -3x^2-90x\r<BR>\n" );
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document.write( "3x^2+90x-12000 =0\r<BR>\n" );
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document.write( "x^2+30x-4000=0\r<BR>\n" );
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document.write( "x^2+80x-50x-4000=0\r<BR>\n" );
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document.write( "x(x+80)-50(x+80)=0\r<BR>\n" );
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document.write( "(x-50)(x+80)=0\r<BR>\n" );
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document.write( "x=50 the rate of the passenger train\r<BR>\n" );
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document.write( "It takes 8 hours to make the trip of 400 miles.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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