document.write( "Question 906942: One clerk can file 12 folders per minute and a second clerk, 9. How long will it take them working together to file 672 folders? \n" ); document.write( "

Algebra.Com's Answer #550103 by josmiceli(19441) $\"\"$ $\"About$

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In words, you need to find:
\n" ); document.write( "( the number of folders that need to be filed ) / ( their rate of filing them together )
\n" ); document.write( "---------------
\n" ); document.write( "The 1st clerk's rate of filing:
\n" ); document.write( "( 12 folders ) / ( 1 min )
\n" ); document.write( "The 2nd clerk's rate of filing:
\n" ); document.write( "( 9 folders ) / ( 1 min )
\n" ); document.write( "--------------------------
\n" ); document.write( "Add their rates of filing to
\n" ); document.write( "get their rate filing together:
\n" ); document.write( "Let $\"+t+\"$ = time in minutes
\n" ); document.write( "to file 1 folder
\n" ); document.write( " $\"+12%2F1+%2B+9%2F1+=+1%2Ft+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+21++=+1%2Ft+\"$
\n" ); document.write( " $\"+t+=+1%2F21+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "So, the rate working together is $\"+1%2Ft+=+21%2F1+\"$
\n" ); document.write( "and, you need:
\n" ); document.write( "( the number of folders that need to be filed ) / ( their rate of filing them together )
\n" ); document.write( " $\"+672+%2F+%28%28+21%2F1+%29%29+=+32+\"$
\n" ); document.write( "It will take them 32 minutes\r
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