document.write( "Question 680819: To fill a swimming pool requires 2 hours if water enters through an inlet pipe alone, or 5 hours if water enters through a hose alone. An outlet pipe can drain the pool in 9 hours. If the inlet pipe, hose, and outlet pipe are all being used simultaneously, how long will it take to fill the pool? \n" ); document.write( "

Algebra.Com's Answer #422475 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling ( or emptying )
\n" ); document.write( "to get their rate when used together
\n" ); document.write( "( 1 pool filled / 2 hrs ) + ( 1 pool filled / 5 hrs ) + (1 pool ( filled or emptied )
\n" ); document.write( "= ( 1 pool filled / t hrs )
\n" ); document.write( " $\"+1%2F2+%2B+1%2F5+%2B+1%2F9+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+90t+\"$
\n" ); document.write( " $\"+45t+%2B+18t+%2B+10t+=+90+\"$
\n" ); document.write( " $\"+73t+=+90+\"$
\n" ); document.write( " $\"+t+=+1.233+\"$ hrs
\n" ); document.write( " $\"+.233%2A60+=+14+\"$
\n" ); document.write( "It will take 1 hr and 14 min
\n" ); document.write( "check:
\n" ); document.write( " $\"+.5+%2B+.2+%2B+.111+=+1%2Ft+\"$
\n" ); document.write( " $\"+.8111+=+1%2Ft+\"$
\n" ); document.write( " $\"+t+=+1.233+\"$
\n" ); document.write( "OK \n" ); document.write( "

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