document.write( "Question 766501: An inlet pipe on a swimming pool can be used to fill the pool in 9 hours. The drain pipe can be used to drain the pipe in 10 hours. If the pool is 2/5 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool \n" ); document.write( "

Algebra.Com's Answer #467125 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An inlet pipe on a swimming pool can be used to fill the pool in 9 hours.
\n" ); document.write( " The drain pipe can be used to drain the pipe in 10 hours.
\n" ); document.write( " If the pool is 2/5 filled and then the inlet pipe and drain pipe are opened,
\n" ); document.write( " how long from that time will it take to fill the pool?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required to finish filling the pool
\n" ); document.write( ":
\n" ); document.write( "Let a full pool = 1
\n" ); document.write( "The pool is already 2/5 filled, therefore 3/5 remain to filled
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F9\"$ - $\"t%2F10\"$ = $\"3%2F5\"$
\n" ); document.write( "multiplied eq by 90 to clear the denominators, results:
\n" ); document.write( "10t - 9t = 18(3)
\n" ); document.write( "t = 54 hrs to fill the pool under these conditions \n" ); document.write( "

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