Painting problem physics homework

[powergirl]

A painting job can be completed by 7 painters in 43 days. If 28 more painters join the team 8 days after starting work on the job, then how many more days are required to complete the job?

 

[dextercioby]

7 days ?

Daniel.

 

[powergirl]

Yes::
Solution:

Total effort required by 7 painters for 43 days = 7 x 43 = 301 man-days.

Initial effort by 7 painters for 8 days = 7 x 8 = 56 man-days.

Job still requires 301 - 56 = 245 man-days, and there are 35 painters available to do it.

Additional effort required by 35 painters for 245 man-days = 245 / 35 = 7 days.

Thus, 7 more days are required to complete the painting job.