document.write( "Question 769300: It takes Amy twice as long to clean the office as it does Nancy. How long would it take each girl to clean the office by herself if they can clean the office together in 30 minutes? \n" ); document.write( "

Algebra.Com's Answer #468773 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of cleaning to get
\n" ); document.write( "their rate working together
\n" ); document.write( "Nancy's rate:
\n" ); document.write( "( 1 office cleaned ) / ( t minutes )
\n" ); document.write( "Amy's rate:
\n" ); document.write( "( 1 office cleaned ) / ( 2t minutes )
\n" ); document.write( "Working together:
\n" ); document.write( "( 1 ofice cleaned ) / ( 30 minutes )
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+1%2Ft+%2B+1%2F%28+2t+%29+=+1%2F30+\"$
\n" ); document.write( "Multiply both sides by $\"+30t+\"$
\n" ); document.write( " $\"+30+%2B+15+=+t+\"$
\n" ); document.write( " $\"+t+=+45+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+2t+=+90+\"$
\n" ); document.write( "Nancy takes 45 min
\n" ); document.write( "Amy takes 90 min\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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