document.write( "Question 178350: An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 44minutes. The second pipe can fill the tank in 77minutes 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 #133315 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=time needed for both tanks working together to fill the tank
\n" ); document.write( "Then together they fill at the rate of 7700/x gpm
\n" ); document.write( "First pipe fills at the rate of 7700/44=175 gpm
\n" ); document.write( "Second pipe fills at the rate of 7700/77=100 gpm
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "175+100=7700/x multiply each term by x
\n" ); document.write( "175x+100x=7700 collect like terms
\n" ); document.write( "275x=7700 divide each side by 275
\n" ); document.write( "x=28 min-----------------time required to fill the tank when both pipes are working together.\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In 28 min, first pipe fills 28*175=4900 gal
\n" ); document.write( "In 28 min second pipe fills 28*100=2800 gal
\n" ); document.write( "4900+2800=7700
\n" ); document.write( "7700=7700\r
\n" ); document.write( "\n" ); document.write( "Does this help???---ptaylor \n" ); document.write( "

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