document.write( "Question 564144: A pond is being drained by a pump. After 3 hours, the pond is half empty. A second pump is put into operation, and together the two pumps finish emptying the pond in half an hour. How long would it take the second pump to drain the pond if it had to do the same job alone. \n" ); document.write( "

Algebra.Com's Answer #365254 by josmiceli(19441) $\"\"$ $\"About$

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The rate of pumping for the 1st pump
\n" ); document.write( "is $\"+%281%2F2%29+%2F+3++=+1%2F6+\"$ ponds/hr
\n" ); document.write( "Let the rate of the 2nd pump = $\"+1%2Ft+\"$ ponds/hr
\n" ); document.write( "-----------
\n" ); document.write( "Working together,
\n" ); document.write( " $\"++1%2F6+%2B+1%2Ft+=+1%2F%28%281%2F2%29%29+\"$
\n" ); document.write( " $\"+1%2F6+%2B+1%2Ft+=+2%2F1+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+t+%2B+6+=+12t+\"$
\n" ); document.write( " $\"+11t+=+6+\"$
\n" ); document.write( " $\"+t+=+6%2F11+\"$ hrs
\n" ); document.write( "The 2nd pump can drain 1 pond in 6/11 hrs
\n" ); document.write( "This is 32.727 min
\n" ); document.write( "32 min and 44 sec \n" ); document.write( "

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