document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255596>Question 255596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bird fly 200km/hr.Two trains coming oppositely one 100km/hr, other 50km/hr.<BR>\n" );
document.write( "Total distace between the trains starting point is 450km.So the bird is flying to and fro in the train line.How long distance the bird travel when the trains <BR>\n" );
document.write( "meet each other. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187804 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> distane getween trains is 450 km.\r<BR>\n" );
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document.write( "one train travels 100 km / hr.\r<BR>\n" );
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document.write( "other train travels 50 km / hr.\r<BR>\n" );
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document.write( "they will meet when the total distance traveled by both of them is equal to 450 km.\r<BR>\n" );
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document.write( "equation for distance is R*T = D.\r<BR>\n" );
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document.write( "This means that rate * time = distance.\r<BR>\n" );
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document.write( "We know the rates.<BR>\n" );
document.write( "We know the distance.<BR>\n" );
document.write( "We know that the time that each train travels will be the same.\r<BR>\n" );
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document.write( "We let h = the time each train travels.\r<BR>\n" );
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document.write( "train 1 travels 100 km / hr * h hours.<BR>\n" );
document.write( "train 2 travels 50 km / hr * h hours.\r<BR>\n" );
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document.write( "the total distance they travel is 450 km.\r<BR>\n" );
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document.write( "our equation is:\r<BR>\n" );
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document.write( "100 * h + 50 * h = 450\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "150 * h = 450\r<BR>\n" );
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document.write( "divide both sides by 50 to get:\r<BR>\n" );
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document.write( "h = 450/150 = 3\r<BR>\n" );
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document.write( "They will meet in 3 hours.\r<BR>\n" );
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document.write( "train 1 will have traveled 100 * 3 = 300 km.<BR>\n" );
document.write( "train 2 will have traveled 50 * 3 = 150 km.\r<BR>\n" );
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document.write( "total distance traveled by both trains is equal to 450 km.\r<BR>\n" );
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document.write( "the bird was flying at 200 km/h.\r<BR>\n" );
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document.write( "in the same 3 hours the bird flew a total of 200 * 3 = 600 km.\r<BR>\n" );
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document.write( "bird flies 450 km in one direction, then travels back 150 km when the trains meet.\r<BR>\n" );
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document.write( "450 + 150 = 600 km.\r<BR>\n" );
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document.write( "if the bird started at the end of the faster train, the bird will be directly overhead when the trains meet.\r<BR>\n" );
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document.write( "if the bird started at the end of the slower train, the bird will not be anywhere near the trains when they meet.\r<BR>\n" );
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document.write( "here's what it looks like:\r<BR>\n" );
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document.write( "each > equals 10 km distance traveled towards the right.\r\n" );
document.write( "each < equals 10 km distance traveled towards the left.\r\n" );
document.write( "fast train (FT) travels 300 km.\r\n" );
document.write( "slow train (ST) travels 150 km.\r\n" );
document.write( "total distance traveled by both trains = 450 km.\r\n" );
document.write( "each train traveled for 3 hours.\r\n" );
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document.write( "FT|>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>|\r\n" );
document.write( "                                 |<<<<<<<<<<<<<<< ST\r\n" );
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document.write( "                 trains meet here|\r\n" );
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document.write( "if the bird started on the left end:\r\n" );
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document.write( "B |>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>|>>>>>>>>>>>>>>>|\r\n" );
document.write( "                                 |<<<<<<<<<<<<<<<|\r\n" );
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document.write( "      bird travels 600 km to here|\r\n" );
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document.write( "if the bird started on the right end:\r\n" );
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document.write( "  |<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<|<<<<<<<<<<<<<<<| B\r\n" );
document.write( "  |>>>>>>>>>>>>>>>|\r\n" );
document.write( "                  |\r\n" );
document.write( "  bird travels 600|\r\n" );
document.write( "        km to here|\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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