SOLUTION: Jonathan can paint a room in 8 hrs. After painting for 2 hours, his brother, David joined him and together, they finished painting the room in 3 1/3hours. In how many hours will Da

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jonathan can paint a room in 8 hrs. After painting for 2 hours, his brother, David joined him and together, they finished painting the room in 3 1/3hours. In how many hours will Da      Log On


   



Question 1021361: Jonathan can paint a room in 8 hrs. After painting for 2 hours, his brother, David joined him and together, they finished painting the room in 3 1/3hours. In how many hours will David finish painting the room alone?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The normal set up is
t%2FA+%2B+t%2FB+=+1
In our case A = 8, the 1 job is now only 3/4 of a job (since Jon did 1/4 of it already), and the time worked together, t, is 10/3 hours...so we have
%2810%2F3%29%2F8+%2B+%2810%2F3%29%2FB+=+3%2F4
We need B. Multiply everything by 8B and get
%2810%2F3%29B+%2B+80%2F3+=+6B
Now multiply by 3 to clear fractions and get
10B+%2B+80+=+18B
8B+=+80 and
B = 10 hours