document.write( "Question 754882: A tap fill a tank in 60 minutes & other can empty it in 50 minutes.if the tank is full & both the taps are opened in wat time will the tank be emptied? \n" ); document.write( "

Algebra.Com's Answer #459378 by josmiceli(19441) $\"\"$ $\"About$

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Add the rate of filling and subtract the
\n" ); document.write( "rate of emptying
\n" ); document.write( "The rate of filling is:
\n" ); document.write( "( 1 tank filled ) / ( 60 min )
\n" ); document.write( "The rate of emptying is:
\n" ); document.write( "( 1 tank empty ) / ( 50 min )
\n" ); document.write( "Let $\"+t+\"$ = time to empty tank
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+1%2F60+-+1%2F50+=+-1%2Ft+\"$
\n" ); document.write( "( note that the right side is negative because it
\n" ); document.write( "is an emptying rate )
\n" ); document.write( "Multiply both sides by $\"+300t+\"$
\n" ); document.write( " $\"+5t+-+6t+=+-300+\"$
\n" ); document.write( " $\"+-t+=+-300+\"$
\n" ); document.write( " $\"+t+=+300+\"$
\n" ); document.write( "The tank is emptied in 300 min
\n" ); document.write( " $\"+300%2F60+=+5+\"$
\n" ); document.write( "or, 5 hrs
\n" ); document.write( "---------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F60+-+1%2F50+=+-1%2F300+\"$
\n" ); document.write( " $\"+.01667+-+.02+=+-.00333+\"$
\n" ); document.write( " $\"+-.00333+=+-.00333+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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