SOLUTION: While working 7 hours day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 h a day?
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Question 654457: While working 7 hours day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 h a day?
If A takes 6 days at 7 hours per day, then she works 42 hours to complete the job. That means she completes nd of the job in one hour. Likewise B completes th of the job in one hour.
Together they complete
Add these two fractions to get the fraction of the job the two of them complete in one hour working together. Take the reciprocal to get the number of hours it takes the two of them to complete the job. Divide that number of hours by 8 to get the number of 8 hour days.
John
My calculator said it, I believe it, that settles it
