document.write( "Question 206410: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #155968 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=amount of time it takes both pumps to fill the pool when working together
\n" ); document.write( "So both pumps fill at the rate of 1/x tank per hour
\n" ); document.write( "First pump fills at the rate of 1/9 tank per hour
\n" ); document.write( "Second tank fills at the rate of 1/6 tank per hour
\n" ); document.write( "Together, they fill at the rate of 1/9 +1/6 tank per hour
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "1/9 + 1/6=1/x multiply each term by 18x
\n" ); document.write( "2x+3x=18
\n" ); document.write( "5x=18
\n" ); document.write( "x=3 3/5 hours or 3h 36m--------------time it takes both tanks working together \r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In 3 3/5 hours, tank one fills (1/9)(18/5)=2/5 of the tank
\n" ); document.write( "In 3 3/5 hours second tank fills (1/6)(18/5)=3/5 of the tank
\n" ); document.write( "2/5 + 3/5 =5/5 or the whole tank\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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