document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786343>Question 786343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a train cover certain distance between two places at uniform speed if train move 10km/hr faster it will take 2 hours less.if train move 10km/hr slower it will take 3 hours more than the scheduled time what is distance covered by train </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477868 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=477868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a train cover certain distance between two places at uniform speed if train move 10km/hr faster it will take 2 hours less.if train move 10km/hr slower it will take 3 hours more than the scheduled time what is distance covered by train\r<BR>\n" );
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document.write( "let distance =x<BR>\n" );
document.write( "and rate for scheduled time be r<BR>\n" );
document.write( "let time be t\r<BR>\n" );
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document.write( "x=rt\r<BR>\n" );
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document.write( "x/(r+10)=t-2<BR>\n" );
document.write( "x=(t-2)(r+10)\r<BR>\n" );
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document.write( "x/(r-10)=t+3<BR>\n" );
document.write( "x=(t+3)(r-10)\r<BR>\n" );
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document.write( "(t-2)(r+10)=rt<BR>\n" );
document.write( "tr+10t-2r-20=rt<BR>\n" );
document.write( "10t-2r=20....................(1)\r<BR>\n" );
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document.write( "(t+3)(r-10)=rt<BR>\n" );
document.write( "tr-10t+3r-30=rt<BR>\n" );
document.write( "-10t+3r=30.....................(2)\r<BR>\n" );
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document.write( "add (1) & (2)\r<BR>\n" );
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document.write( "r=50<BR>\n" );
document.write( "plug r in (1)<BR>\n" );
document.write( "10t-100=20<BR>\n" );
document.write( "10t=120<BR>\n" );
document.write( "/10<BR>\n" );
document.write( "t=12 \r<BR>\n" );
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document.write( "x=rt<BR>\n" );
document.write( "x=600 miles\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );