document.write( "Question 160846: Train A travels 60mph
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document.write( "Train B travels 70mph
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document.write( "Train A reaches a spot at 6:15, Train B reaches same spot at 6:27, when will train B catch up to train A? \n" );
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Algebra.Com's Answer #118571 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! the trains will meet after they have both traveled the same distance. \n" ); document.write( "train A has to do that distance in T minutes \n" ); document.write( "train B has to do that distance in (T-12) minutes because train B started 12 minutes later (6:27 - 6:15). \n" ); document.write( "----- \n" ); document.write( "the equation for train A is T * 60 = D \n" ); document.write( "the equation for train B is (T - 12) * 70 = D \n" ); document.write( "since they both = D, then they are equal to each other. \n" ); document.write( "T * 60 = (T - 12) * 70 \n" ); document.write( "solve this equation as follows: \n" ); document.write( "T * 60 = (70 * T) - (70 * 12) \n" ); document.write( "60*T = 70*T - 840 \n" ); document.write( "840 = 10*T \n" ); document.write( "T = 84 minutes. \n" ); document.write( "----- \n" ); document.write( "in 84 minutes, train A will have traveled 84/60 * 60 = 84 miles. \n" ); document.write( "in 84 minutes, train B will have traveled 72/60 * 70 = 84 miles. \n" ); document.write( "----- \n" ); document.write( "division by 60 was necessary to convert minutes to hours.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |