SOLUTION: worker A takes 8 hours to do a job.Worker B takes 10 hours to do the same job. How long should it takes both A and B working together but independently to do the same job?

Question 770562: worker A takes 8 hours to do a job.Worker B takes 10 hours to do the same job. How long should it takes both A and B working together but independently to do the same job?
Found 2 solutions by oscargut, solver91311:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!

Answer 1/(1/8)+(1/10)) = 40/9

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Thanks
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period.

So, working together, they can do

of the job in 1 time period.

Therefore, they can do the whole job in:

time periods.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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