document.write( "Question 560352: i have solved that if Worker A finishes a job in 8 days and worker B finishes it in 12 days they complete 5/24 of the job in 1 day. I also solved that they complete 5/8 of the job in 3 days. I think that i am stuck on how many days it will take the 2 workers to finish the job. I believe it is 5/8x = 1 which is 1 3/5 days. I am stumped on the question: If B worked alone for 3 days how many days will it take A alone to finish the remaining work? Can you help please. \n" ); document.write( "
Algebra.Com's Answer #363850 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
just use the same ratio
\n" ); document.write( "\"+%285%2F8%29+%2F+3+\" job/days
\n" ); document.write( "Multiply top and bottom by \"+8%2F5+\"
\n" ); document.write( "\"+1+%2F+%28%288%2F5%29%2A3%29+\"
\n" ); document.write( "\"+1+%2F+%2824%2F5%29+\"
\n" ); document.write( "This is 1 job completed in 4 and 4/5 days
\n" ); document.write( "This makes sense, because it will take a little longer
\n" ); document.write( "than 3 days if 5/8 of the job is done in 3 days
\n" ); document.write( "-------------------------------------
\n" ); document.write( "How much of the job can B get done in 3 days?
\n" ); document.write( "B's rate = \"+1%2F12+\" job/days. This is the same as
\n" ); document.write( "\"+%281%2F12%29+%2F+1+\" job/days
\n" ); document.write( "In 3 days B will get 3 times as much done, or
\n" ); document.write( "\"+3%2F12+=+1%2F4+\" job
\n" ); document.write( "Now A has to do \"+3%2F4+\" of the job to finish it
\n" ); document.write( "A's rate = \"+1%2F8+\" job/days
\n" ); document.write( "Note that ( days ) = ( job ) / ( job/days ) )
\n" ); document.write( "\"+%28+3%2F4%29+%2F+%28+1%2F8+%29+=+24%2F4+\"
\n" ); document.write( "\"+24%2F4+=+6+\"
\n" ); document.write( "It will take A 6 days to finish the job alone
\n" ); document.write( "
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