document.write( "Question 1203160: How do I go about setting up this equation?\r
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document.write( "2 trains are a mile and a 1/2 apart\r
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document.write( "A is traveling at 3/4ths the speed of train B\r
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document.write( "they'll collide in 4 1/2 minutes\r
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document.write( "how fast is each train going\r
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document.write( "Thanks in advance. \n" );
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Algebra.Com's Answer #838502 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! How do I go about setting up this equation?\r \n" ); document.write( "\n" ); document.write( "2 trains are a mile and a 1/2 apart\r \n" ); document.write( "\n" ); document.write( "A is traveling at 3/4ths the speed of train B\r \n" ); document.write( "\n" ); document.write( "they'll collide in 4 1/2 minutes\r \n" ); document.write( "\n" ); document.write( "how fast is each train going \n" ); document.write( "---------------------- \n" ); document.write( "The fact that they'll collide implies they're moving toward each other, so the speeds are added. \n" ); document.write( "--- \n" ); document.write( "A = 0.75B \n" ); document.write( "A + B = 1.75B (the \"closing speed\") \n" ); document.write( "------ \n" ); document.write( "d = r*t \n" ); document.write( "1.5 = 1.75B*4.5 \n" ); document.write( "B = 1.5/(1.75*4.5) = 1/5.25 miles/minute \n" ); document.write( "----- \n" ); document.write( "A = 0.75B = 1/7 miles/minute \n" ); document.write( "================== \n" ); document.write( "Multiply by 60 to get miles per hour \n" ); document.write( " \n" ); document.write( " |