document.write( "Question 387668: A larger pipe can empty a pool in 6 hrs and a smaller pipe can empty the same pool in 9 hrs. How long will it take both pipes to empty the pool? \n" ); document.write( "

Algebra.Com's Answer #274050 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of emptying to get rate for both
\n" ); document.write( "In words:
\n" ); document.write( "{1 pool)/(6 hours) + (1 pool)/(9 hours) = (1 pool)/(x hours)
\n" ); document.write( " $\"1%2F6+%2B+1%2F9+=+1%2Fx\"$
\n" ); document.write( "Multiply both sides by $\"18x\"$
\n" ); document.write( " $\"3x+%2B+2x+=+18\"$
\n" ); document.write( " $\"5x+=+18\"$
\n" ); document.write( " $\"x+=+3.6\"$
\n" ); document.write( "It will take 3.6 hrs or 3 hours and 36 minutes
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