Hello, Kyle_147!

I always consider the amount of work doneA painter worked on a job for 10 days and is then joined by an associate.

Together they finish the job in 6 more days.

The associate could have done the job alone in 30 days.

How long would it have taken the painter to do the job alone?perday.

The Painter can do the job in days.

. . In one day, he can do of the job.

. . In days, he can do of the job.

The Associate can do the job in 30 days.

. . In one day, he can do of the job.

. . In days, he can do of the job.

The Painter worked alone for 10 days.

. . He already did of the job . . . part of the job.

Then he and the Associate worked together for 6 days.

. . They did: . of the job . . . the rest of the job.

So we have: . . . . the whole job

Andthereis our equation!

Now solve for . . .