document.write( "Question 1155702: Sue can do an inventory by herself in 6 hours. Sue and Ann work together on the inventory for 3 hours. Then Ann finishes up the job by herself in 2 additional hours. How many hours would it take Ann to do the entire inventory if she worked alone? \n" ); document.write( "

Algebra.Com's Answer #778337 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Sue can do an inventory by herself in 6 hours.
\n" ); document.write( " Sue and Ann work together on the inventory for 3 hours.
\n" ); document.write( " Then Ann finishes up the job by herself in 2 additional hours.
\n" ); document.write( " How many hours would it take Ann to do the entire inventory if she worked alone?
\n" ); document.write( ":
\n" ); document.write( "let a = time required by Ann working alone
\n" ); document.write( "let the completed job = 1
\n" ); document.write( "\"Sue and Ann work together on the inventory for 3 hours. Then Ann finishes up the job by herself in 2 additional hours.\"
\n" ); document.write( "Sue works a total of 5 hrs, Ann works 3
\n" ); document.write( " $\"5%2F6\"$ + $\"3%2Fa\"$ = 1
\n" ); document.write( "Multiply equation by 6a
\n" ); document.write( "5a + 6(3) = 6a
\n" ); document.write( "18 = 6a - 5a
\n" ); document.write( "18 = a
\n" ); document.write( "Ann required 18 hrs to do the job alone
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( " $\"5%2F6\"$ + $\"3%2F18\"$ = 1
\n" ); document.write( " $\"5%2F6\"$ + $\"1%2F6\"$ = 1 \n" ); document.write( "

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