document.write( "Question 5493: Two trains start toward each other on parallel tracks at the same time from towns 450 miles apart. One train travels 6 mph faster than the other train. What is the rate of each train if they meet in 5 hours?
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document.write( " thanks for the help! \n" );
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Algebra.Com's Answer #2859 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! Use the formula \n" ); document.write( "rate*time=distance \n" ); document.write( "Let x = the slower train \n" ); document.write( "x+6 = the rate of the faster train \n" ); document.write( "when traveling at the same time toward each other, add their rates together: \n" ); document.write( "x+x+6 or 2x+6 \n" ); document.write( "then \n" ); document.write( "r*t=d \n" ); document.write( "(2x+6)*5hours=450miles \n" ); document.write( "10x+30=450 \n" ); document.write( "10x=420 \n" ); document.write( "x=42 \n" ); document.write( "the slower train is traveling at 42mph \n" ); document.write( "the faster train is traveling 6 miles faster at 48 mph.\r \n" ); document.write( "\n" ); document.write( "check the answer by the time... \n" ); document.write( "the 42mph train travels 5 hours or 210 miles \n" ); document.write( "the 48mph train travels 5 hours or 240 miles \n" ); document.write( "210miles + 240 miles = 450 miles \n" ); document.write( "so this is correct. \n" ); document.write( " |