document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353818>Question 353818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me answer this question? A bus passenger observes that a train moving in the opposite direction passes him in 5 seconds; but moving in the same direction with him, it passes him in 45 seconds. Compare the speed of the bus with that of the train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252936 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of bus =  X m/s and  the speed of train = Y m/s \r<BR>\n" );
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document.write( "where Y > X<BR>\n" );
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document.write( "speed of train is greater than bus because train passes the boy.\r<BR>\n" );
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document.write( "Let the length of train = L\r<BR>\n" );
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document.write( "relative velocity when both in opposite direction = X + Y  meter/second\r<BR>\n" );
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document.write( "  relative velocity when both in same direction  =  Y - X  meter/second\r<BR>\n" );
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document.write( "according to question   L /(X + Y) = 5 OR, L = 5(X+Y)......(1)\r<BR>\n" );
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document.write( " and  L /(Y-X) = 45  OR,  L = 45(Y-X) ......(2)\r<BR>\n" );
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document.write( "from above 2 equations....\r<BR>\n" );
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document.write( " 5(X+Y) = 45(Y-X)\r<BR>\n" );
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document.write( "=> 5X + 5Y = 45 Y - 45 X\r<BR>\n" );
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document.write( "=> 50 X = 40 Y\r<BR>\n" );
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document.write( "=>   X / Y =  4/5\r<BR>\n" );
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document.write( "so, speed of bus and train are in ratio 4:5 .\r<BR>\n" );
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document.write( "Best of luck.......  </SPAN>\n" );
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