document.write( "Question 321016: An aquarium tank can hold 6600 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 66 minutes. The second pipe can fill the tank in 55 minutes by itself. When both pipes are working together, how long does it take them to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #229905 by josmiceli(19441) $\"\"$ $\"About$

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The rate for 1st pipe is (1 tank)/66 min
\n" ); document.write( "The rate for 2nd pipe is (1 tank)/55 min
\n" ); document.write( "Their rates of filling the tank with both open
\n" ); document.write( "is the sum of the 2 rates working alone
\n" ); document.write( "Let $\"x\"$ = time to fill with A&B both open
\n" ); document.write( " $\"1%2Fx+=+1%2F66+%2B+1%2F55\"$
\n" ); document.write( "Multiply both sides by $\"330x\"$
\n" ); document.write( " $\"330+=+5x+%2B+6x\"$
\n" ); document.write( " $\"11x+=+330\"$
\n" ); document.write( " $\"x+=+30\"$
\n" ); document.write( "It takes 30 min with both pipes open
\n" ); document.write( "Note that the liters of water in a full tank is not needed to solve \n" ); document.write( "

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