SOLUTION: One person can do a job in 2 hours, Another can do the job in 3 hours, how long will it take if they do the job together. What is the formula to solve this type of question? My

Question 4749: One person can do a job in 2 hours, Another can do the job in 3 hours, how long will it take if they do the job together.
What is the formula to solve this type of question?
My attempts seem futile.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
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.
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