document.write( "Question 33497: I can't figure out the right equation for this problem...
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document.write( "I tried setting it to: x/3 + x/9= 1 because similar problems in my homework used the same type of equation but it doesn't work out correctly...\r
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document.write( "A pool can be filled by a pipe in 3 hours. It takes three times as long for another pipe to empty the pool. How long will it take to fill the pool with both pipes open.
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document.write( "thank you \n" );
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Algebra.Com's Answer #19866 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Notice that one pipe is filling and the other is emptying the pool. \n" ); document.write( "Let \"x\" be the number of hours required to fill the pool. \n" ); document.write( "Filling pipe Data: \n" ); document.write( " time to fill= 3 hr rate= (1/3)job/hr work done= (1/3)x \n" ); document.write( "Emptying pipe Data: \n" ); document.write( " time to empty=9 hr rate= (1/9)job/hr work done = (1/9)x \n" ); document.write( "EQUATION: \n" ); document.write( " fill - emptying = 1 job \n" ); document.write( "Let \"x\" be the number of hours the job takes. \n" ); document.write( " (1/3)x - (1/9)x = 1 \n" ); document.write( " 3x - x = 9 \n" ); document.write( "2x=9 \n" ); document.write( "x=4.5 hours (pool will be full after 4.5 hours) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |