SOLUTION: I apologize if this is the wrong topic selection for my question. It was the best I could find. If I should ask elsewhere, could you tell me which topic I should choose? My ques

Algebra ->  Rate-of-work-word-problems -> SOLUTION: I apologize if this is the wrong topic selection for my question. It was the best I could find. If I should ask elsewhere, could you tell me which topic I should choose? My ques      Log On


   



Question 625675: I apologize if this is the wrong topic selection for my question. It was the best I could find. If I should ask elsewhere, could you tell me which topic I should choose?
My question is: 'Person A can complete a job in four hours. Person b can complete the job in 6 hours. Working at the same rate, How many hours will it take both of them to complete the job?'
I don't believe it is as easy as just adding the two together. Is it just finding the mean of the two working times; (6 hours + 4 hours)/2 ?

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Person A can complete work in 1 hour = 1/4 part
Person B can complete work in 1 hour = 1/6 part
Total work that can be done in 1 hour if both work together = 1/4 +1/6

= 5/12 part.
Time required to complete the work = 12/5 hours
By formula u can solve in this way : A*B/ (A+B)
= 4*6 /(4+6)
= 24/10 = 12/5 hours.
I hope it will help u to understand the solution.
Feel free to ask if any doubt...