A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to do the work together?
Please could someone answer this question.
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Step-by-step explanation:
A can do a work in 6 days b can do it in 8 days
amount of work A can do in 1 day = 1/6
amount of work B can do in 1 day = 1/8
amount of work A and B can do together in 1 day = 1/6 + 1/8 = 7/24
in 2 days, they do = 2× 7/24 = 7/12
work remaining for A to do alone = 1 - 7/12 = 5/12
no. of days A will take = 5/12 ÷ 1/6 = 5/2 days
Thus A needs 2.5 days to complete the work.
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