while working 7 hour a 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 , 8 hour a day?

A 5 days
B 3 days
C 4 days
D 3.6 days

Correct Answer: 3 days

A can complete the work in 7*6 hrs = 42 hrs. A can complete in 1 hr = 1/42 part. B can complete the work in 7*8 hr = 56 hrs. A&B together do in 1 hr = 1/42 + 1/56 = 7/168 = 1/24 part. So they will do in 8 hrs = 8*1/24 = 1/3 part. Hence they need 1÷1/3 = 3 days to complete the work.
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