document.write( "Question 1033445: A train leaves Union Station for Central Station, 216 km away, at 9 a.m. One hour later, a train leaves Central Station for Union Station. They meet at noon. If the second train had started at 9 a.m., and the first train at 10:30 a.m., they would still have met at noon. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #648093 by josgarithmetic(39617)\"\" \"About 
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Use a time line instead of time points. Your trains seem described as traveling
\n" ); document.write( "in opposite directions and moving toward each other.\r
\n" ); document.write( "\n" ); document.write( "RT=D is a basic travel rates rule connecting RATE, TIME, DISTANCE.\r
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document.write( "VEHICLES        RATE      TIME      DISTANCE\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "Case1\r\n" );
document.write( "A                r        2+1\r\n" );
document.write( "B                s         2\r\n" );
document.write( "Total                                 216\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "Case2\r\n" );
document.write( "A                r        3/2\r\n" );
document.write( "B                s        3\r\n" );
document.write( "Total                                 216\r\n" );
document.write( "---------------------------------------------
\r
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\n" ); document.write( "\n" ); document.write( "Time values can be found without putting them as variables. The two unknown variables
\n" ); document.write( "are FirstTrain at rate r and SecondTrain at rate s. Each situation uses time span of
\n" ); document.write( "three hours, but case 1 is when train number two travels less time; and case 2 is when
\n" ); document.write( "first train travels less time. Think and review the data table before continuing...\r
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\n" ); document.write( "\n" ); document.write( "-----to continue, fill-in the distance expressions.\r
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\r\n" );
document.write( "VEHICLES        RATE      TIME      DISTANCE\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "Case1\r\n" );
document.write( "A                r        2+1        r*3\r\n" );
document.write( "B                s         2          s*2\r\n" );
document.write( "Total                                 216\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "Case2\r\n" );
document.write( "A                r        3/2        r*(3/2)\r\n" );
document.write( "B                s        3          s*3\r\n" );
document.write( "Total                                 216\r\n" );
document.write( "---------------------------------------------
\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28system%283r%2B2s=216%2C3r%2F2%2B3s=216%29%29\"
\n" ); document.write( "Solve this system for r and s, the speeds of FirstTrain and SecondTrain.
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