document.write( "Question 690959:  Train A, is 10 meters from the station and is traveling at the rate of 5 meters per minute. Train B, started at the station and is traveling at the rate of 8 meters per minute. How much time will pass until they are in the same place? And explain why your answer is reasonable.
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Algebra.Com's Answer #426439 by stanbon(75887)    ![]() You can put this solution on YOUR website! Train A, is 10 meters from the station and is traveling at the rate of 5 meters per minute. Train B, started at the station and is traveling at the rate of 8 meters per minute. How much time will pass until they are in the same place? And explain why your answer is reasonable. \n" ); document.write( "------ \n" ); document.write( "Train A DATA: \n" ); document.write( "rate = 5m/min ; distance = x meters ; time = x/5 minutes \n" ); document.write( "-- \n" ); document.write( "Train B DATA: \n" ); document.write( "rate = 8m/min ; distance = 10-x meters; time = (10-x)/8 minutes \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "x/5 = (10-x)/8 \n" ); document.write( "8x = 5(10-x) \n" ); document.write( "8x = 50 - 5x \n" ); document.write( "13x = 50 \n" ); document.write( "x = 3.8462 meters \n" ); document.write( "x/5 = 0.7692 minutes = 46.2 seconds (time till they are at the same place) \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( "  |