Question

A can do a piece of work in 6 days and B can do it in 8 day. they worked together for two
days and then B left the work. How long will it take for A to complete the work?
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Answer 1

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Answer 2

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.