document.write( "Question 886046: A tank is filled in 9 hours and drained in 11 hours. How long will it take to fill the tank if the drain is left half open? \n" ); document.write( "

Algebra.Com's Answer #535638 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A tank is filled in 9 hours and drained in 11 hours.
\n" ); document.write( "How long will it take to fill the tank if the drain is left half open?
\n" ); document.write( ":
\n" ); document.write( "If the drain is left half open, it should take 22 hrs to drain
\n" ); document.write( ":
\n" ); document.write( "let t = time to fill tank under the given conditions
\n" ); document.write( "let the completed job = 1 (a full tank)
\n" ); document.write( "fill is +, drain is -
\n" ); document.write( " $\"t%2F9\"$ - $\"t%2F22\"$ = 1
\n" ); document.write( "Multiply equation by 198, cancel the denominators and you have:
\n" ); document.write( "22t - 9t = 198
\n" ); document.write( "13t = 198
\n" ); document.write( "t = 198/13
\n" ); document.write( "t = 15.23 hrs \n" ); document.write( "

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