.
Suppose an average professor can do a certain job in nine hours and an average student can do the same job in 6 hours.
If three professors and two students work together, how long will the job take?
-----------------------------------------------------------
The rate of each professor is job-per-hour.
The rate of each student is job-per-hour.
The rate of the tree professors and 2 students working simultaneously is
+ = job-per-hour.
Hence, it will take = an hour for three professors and two students to get the job complete if they work together.
Answer. In an hour.
See the lesson Using fractions to solve word problems on joint work in this site for many other samples
of solved problems on joint work.