SOLUTION: 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

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Question 1019723: 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?
Answer by ikleyn(52803) About Me  (Show Source):
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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?
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The rate of each professor is 1%2F9 job-per-hour.

The rate of each student is 1%2F6 job-per-hour.

The rate of the tree professors and 2 students working simultaneously is

3%2F9 + 2%2F6 = %281%2B1%29%2F3 2%2F3 job-per-hour.

Hence, it will take 3%2F2 = 11%2F2 an hour for three professors and two students to get the job complete if they work together.

Answer. In 11%2F2 an hour.

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