document.write( "Question 1157345: Hi\r
\n" ); document.write( "\n" ); document.write( "Points A and B are 300km apart. A train travels from A at 30km per hour and another train from B at 45km per hour. At what distance from A will both trains meet. \r
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Algebra.Com's Answer #780194 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The way how the beginner student solves such problems\r
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document.write( "Let t be the time, in hours, before the trains will meet each other.\r\n" );
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document.write( "At that time, Train A will cover 30*t kilometers;\r\n" );
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document.write( "              train B will cover 45*t kilometers.\r\n" );
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document.write( "The distances they cover sum up the whole distance of 300 kilometers.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "    30*t + 45*t = 300   kilometers,   or\r\n" );
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document.write( "    (30+45)*t = 300,\r\n" );
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document.write( "    75t       = 300\r\n" );
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document.write( "      t       = \"300%2F75\" = 4 hours.\r\n" );
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document.write( "Then the distance from A is  30*4 = 120 kilometers.\r\n" );
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document.write( "ANSWER.  They will meet each other in 4 hours.\r\n" );
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\n" ); document.write( "\n" ); document.write( "            The way for more advanced students.\r
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document.write( "Let d be the distance from A (the unknown under the question).\r\n" );
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document.write( "Then the distance from B is  300-d  kilometers.\r\n" );
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document.write( "The time spent by A-train is  \"d%2F30\" hours.\r\n" );
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document.write( "The time spent by B-train is  \"d%2F45\" hours.\r\n" );
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document.write( "The time is the same, which gives you an equation\r\n" );
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document.write( "    \"d%2F30\" = \"%28300-d%29%2F45\".\r\n" );
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document.write( "Multiply both sides by 90.\r\n" );
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document.write( "    3d = 2*(300-d),   or\r\n" );
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document.write( "    3d = 600 - 2d\r\n" );
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document.write( "    3d + 2d = 600\r\n" );
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document.write( "    5d      = 600\r\n" );
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document.write( "     d      = \"600%2F5\" = 120 kilometers.\r\n" );
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document.write( "You got the same answer (!)\r\n" );
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\n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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\n" ); document.write( "\n" ); document.write( "Hey,\r
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\n" ); document.write( "\n" ); document.write( "Tell him (or her),  by referring to me,  that he  (or she)  does his  (or her)  job by  NOT  in a  PERFECT  mode.\r
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\n" ); document.write( "\n" ); document.write( "The correct condition must sound in this way:\r
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document.write( "    Points A and B are 300 km apart. A train travels from A to B at 30 km per hour and another train travels \r\n" );
document.write( "    from B to A at 45 km per hour. At what distance from A will both trains meet each other, if they depart simultaneously ?\r\n" );
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