document.write( "Question 962365: A hose can fill a pool in 12 hours. A drainage pipe can empty the pool in 18 hours. If the drain pipe is left open while the pool is filling how long will it takes to fill a pool?
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Algebra.Com's Answer #588041 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x= amount of time for pool to fill \n" ); document.write( "with both pipes open the pool fills at the rate of 1/x pool per hour \n" ); document.write( "Hose fills at rate of 1/12 pool per hour \n" ); document.write( "Drainage pipe empties at rate of 1/18 pool per hour \n" ); document.write( "sooo \n" ); document.write( "1/12 - 1/18= 1/x multiply each term by 36x to get rid of fractions \n" ); document.write( "3x-2x=36 \n" ); document.write( "x=36 hours --- \n" ); document.write( "CK \n" ); document.write( "In 36 hours fill pipe fills (1/12)*36= 3 pools \n" ); document.write( "In 36 hours drain pipe drains(1/18)*36=2 pools \n" ); document.write( "3-2=1 full pool:)\r \n" ); document.write( "\n" ); document.write( "hope this helps--- ptaylor \n" ); document.write( " |