document.write( "Question 556067: if there are two faucets and one takes 4 minutes to fill a bucket and the other takes 6 minutes to fill a bucket then how long will it take to fill the bucket once with both faucets running at the same time in seconds? \n" ); document.write( "

Algebra.Com's Answer #362029 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling
\n" ); document.write( "faucet 1: ( 1 bucket ) / ( 4 min )
\n" ); document.write( "faucet 2: ( 1 bucket ) / ( 6 min )
\n" ); document.write( "Let $\"t\"$ = time in minutes to fill
\n" ); document.write( "bucket with both faucets running
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+=+12+\"$
\n" ); document.write( " $\"+5t+=+12+\"$
\n" ); document.write( " $\"+t+=+12%2F5+\"$
\n" ); document.write( "To get time in sec, multiply by $\"+60+\"$
\n" ); document.write( " $\"+%2812%2F5%29%2A60+=+144+\"$
\n" ); document.write( "It will take 144 sec to fill the
\n" ); document.write( "bucket with both faucets running \n" ); document.write( "

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