document.write( "Question 628805: Hi \r
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document.write( "The problem:\r
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document.write( "A large water tank has two inlet pipes of different sizes and one outlet pipe.\r
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document.write( "With the outlet pipe closed it takes 3 hours to fill the empty using the large inlet pipe only. It takes 4 hours to fill the empty tank using the small inlet pipe only.\r
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document.write( "When the tank is full and the inlet pipes are closed it takes the outlet pipe 8 hours to empty the tank.\r
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document.write( "Assuming the tank is empty and all three pipes are opened how long will it take to fill the tank to the nearest minute.\r
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document.write( "Thankyou \n" );
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Algebra.Com's Answer #395849 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A large water tank has two inlet pipes of different sizes and one outlet pipe. \n" ); document.write( "With the outlet pipe closed it takes 3 hours to fill the empty using the large inlet pipe only. It takes 4 hours to fill the empty tank using the small inlet pipe only. \n" ); document.write( "When the tank is full and the inlet pipes are closed it takes the outlet pipe 8 hours to empty the tank. \n" ); document.write( "Assuming the tank is empty and all three pipes are opened how long will it take to fill the tank to the nearest minute. \n" ); document.write( ". \n" ); document.write( "Let x = time (hours) it takes to fill tank \n" ); document.write( "then \n" ); document.write( "x(1/3 + 1/4 - 1/8) = 1 \n" ); document.write( "multiplying both sides by 24: \n" ); document.write( "x(8 + 6 - 3) = 24 \n" ); document.write( "x(14 - 3) = 24 \n" ); document.write( "x(11) = 24 \n" ); document.write( "x = 24/11 hours \n" ); document.write( "or \n" ); document.write( "x = 2 hours and 11 minutes \n" ); document.write( " |