Question 4749
First, find out how much of the job each person can do in 1 hour.

Person A can do 1/2 of the job in 1 hour.
Person B can do 1/3 of the job in 1 hour.

So, together, A and B can do 1/2 + 1/3 = 5/6 of the job in 1 hour.

Then multiply both sides by the reciprocal of 5/6 (that's 6/5) to get the whole job time.

Then A and B can do (6/5)(5/6) of the job in (6/5) of 1 hour.

6/5 of an hour is 1 hour and 12 minutes.