document.write( "Question 1131119: \"At noon, a pump is turned on to fill an empty pool. Normally, the pump would fill the pool in 12 hours, but at 12:00 P.M, a valve is accidentally opened that could drain a full pool in 20 hours. If the valve remains open, at what time will the pool be full?\"\r
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document.write( "This was a question I had on my Algebra 2 test and I got punched in the face with this question..., I wasn't able to fill in the chart at all, but if I'm right the chart should be a rate x time = distance (work) chart. I really have no idea how to fill in the chart... \n" );
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Algebra.Com's Answer #747729 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \"At noon, a pump is turned on to fill an empty pool. Normally, the pump would fill the pool in 12 hours, but at 12:00 P.M, a valve is accidentally opened that could drain a full pool in 20 hours. If the valve remains open, at what time will the pool be full?\" \n" ); document.write( "---- \n" ); document.write( "1st pump data: \n" ); document.write( "rate = 1/12 pool/hr \n" ); document.write( "---- \n" ); document.write( "2nd pump data: \n" ); document.write( "rate = -1/20 pool/hr \n" ); document.write( "------ \n" ); document.write( "Rate at which the pool is filled if both are pumps are open:: 1/12 - 1/20 \n" ); document.write( "-------------- \n" ); document.write( "Let the time to fill the pool be x-hours. \n" ); document.write( "----- \n" ); document.write( "x(1/12 - 1/20) = 1 pool \n" ); document.write( "x((20-12)/(12*20)) = 1 \n" ); document.write( "x(8/240) = 1 \n" ); document.write( "x(1/30) = 1 \n" ); document.write( "----- \n" ); document.write( "Ans:: Time to fill the pool = 30 hours. \n" ); document.write( "--------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " \n" ); document.write( " |