document.write( "Question 570828: Steve gets on the elevator at the 11th floor of the building and rides up at a rate of 57 floors per minute. At the same time, Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue travelling at these rates, at which floor will their paths cross? \n" ); document.write( "

Algebra.Com's Answer #367793 by Edwin McCravy(20056) $\"\"$ $\"About$

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Steve gets on the elevator at the 11th floor of the building and rides up at a rate of 57 floors per minute. At the same time, Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue travelling at these rates, at which floor will their paths cross?
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document.write( "Their approach rate is 57+63 = 120 floors per minute.  They are 51-11 = 40\r\n" );
document.write( "floors apart. Since 40 is 1/3 of 120, it'll only take 1/3 of a minute till\r\n" );
document.write( "their paths cross. So at 57 floors per minute, in 1/3 of a minute, Steve will\r\n" );
document.write( "go up  1/3 of 57 or 19 floors, so he'll be on the 11th+19 = 30th floor in 1/3\r\n" );
document.write( "of a minute. That's the answer.  But as a check, at 63 floors per minute, Joyce\r\n" );
document.write( "will come down 1/3 of 63 or 21 floors, so she'll be on the 51st-21 or 30th\r\n" );
document.write( "floor too in 1/3 of a minute.  So it checks.\r\n" );
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document.write( "Answer: 30th floor.  \r\n" );
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document.write( "Edwin

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