document.write( "Question 628805: Hi \r
\n" ); document.write( "\n" ); document.write( "The problem:\r
\n" ); document.write( "\n" ); document.write( "A large water tank has two inlet pipes of different sizes and one outlet pipe.\r
\n" ); document.write( "\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.\r
\n" ); document.write( "\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.\r
\n" ); document.write( "\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.\r
\n" ); document.write( "\n" ); document.write( "Thankyou
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Algebra.Com's Answer #395849 by nerdybill(7384)\"\" \"About 
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
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