document.write( "Question 357840: A swimming pool can be filled in 6 hours and requires 9 hours to drain. If the drain was accidentally left open for 6 hours while the pool was being filled, how long did filling the pool require? \n" ); document.write( "
Algebra.Com's Answer #255421 by Fombitz(32388)\"\" \"About 
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Rate*Time=Output
\n" ); document.write( "Let the pool volume be V.
\n" ); document.write( "Find the filling rate.
\n" ); document.write( "\"R%5Bf%5D%2A6=V\"
\n" ); document.write( "\"R%5Bf%5D=V%2F6\"
\n" ); document.write( "Find the draining rate.
\n" ); document.write( "\"R%5Bd%5D%2A9=V\"
\n" ); document.write( "\"R%5Bd%5D=V%2F9\"
\n" ); document.write( "Find the volume in the pool for 6 hours with both valves open.
\n" ); document.write( "\"%28R%5Bf%5D-R%5Bd%5D%29%2A6=%28V%2F6-V%2F9%29%2A6\"
\n" ); document.write( "\"%28R%5Bf%5D-R%5Bd%5D%29%2A6=%28%283V%29%2F18-%282V%29%2F18%29%2A6\"
\n" ); document.write( "\"%28R%5Bf%5D-R%5Bd%5D%29%2A6=%28V%2F18%29%2A6\"
\n" ); document.write( "\"%28R%5Bf%5D-R%5Bd%5D%29%2A6=V%2F3\"
\n" ); document.write( "The pool is now (\"1%2F3\") full.
\n" ); document.write( "Find the time it takes to fill the remaining \"%282%2F3%29V\".
\n" ); document.write( "\"R%5Bf%5D%2At=%282%2F3%29V\"
\n" ); document.write( "\"%28V%2F6%29%2At=%282%2F3%29V\"
\n" ); document.write( "\"t=4\"hrs.
\n" ); document.write( "The total time to fill the pool is the sum of the two times.
\n" ); document.write( "\"T=6%2B4\"
\n" ); document.write( "\"highlight%28T=10%29\"hrs
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