Work problem Two woman paint a barn.Daisy can paint it alone in 5 days,didith in 8 days >they start to paint it together, but afte 2 days , didith get baored and Daisy finishes the job alone.How long does it take her to finish the job?

Daisy did 2/5ths or %40 of the barn in those two days as she can do the whole lot in 5 days she did 2/5ths or %40 in 2 days so thats %40 of the barn done. 



Didith did 2/8ths or %25 of the barn in those two days,  



so the amount of barn painted in the first two days is: 1/4 + 2/5 which equals %65 of the barn complete in the first two days. so there is %35 of the barn left to paint and only Daisy (who can paint %20 of the barn in one day)  



so to figure out how many days it takes Daisy to paint %35 of the barn this is what to do: 



%20 = 1day 


%35 - %20 = %15


 5x5x5x5 = 20


 5x5x5 = 15


 therefore it takes Daisy 1/4 of a day to paint %5 of the barn 


therefore it takes Daisy 3/4 of a day to paint %15 of the barn (i hope you are following me here!) 


1 + 3/4 = one and three quarters of a day 



Therefore it took Daisy one and three quarter days to paint the remaining %35 of the barn. 




So it took Daisy one and three quarter days to finish the job after Didith left. 



Hope this is helpful 
Emmanuel 



Daisy did 2/5ths or %40 of the barn in those two days as she can do the whole lot in 5 days she did 2/5ths or %40 in 2 days so thats %40 of the barn done. 

Didith did 2/8ths or %25 of the barn in those two days,  

so the amount of barn painted in the first two days is: 1/4 + 2/5 which equals %65 of the barn complete in the first two days. so there is %35 of the barn left to paint and only Daisy (who can paint %20 of the barn in one day)  

so to figure out how many days it takes Daisy to paint %35 of the barn this is what to do: 

%20 = 1day 
%35 - %20 = %15
 5x5x5x5 = 20
 5x5x5 = 15
 therefore it takes Daisy 1/4 of a day to paint %5 of the barn 
therefore it takes Daisy 3/4 of a day to paint %15 of the barn (i hope you are following me here!) 
1 + 3/4 = one and three quarters of a day 

Therefore it took Daisy one and three quarter days to paint the remaining %35 of the barn. 

So it took Daisy one and three quarter days to finish the job after Didith left. 

Hope this is helpful 
Emmanuel