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Answer:
In 6 days B can complete the work.
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Let B can complete the piece of work in Y days .
In 1 day B can complete 1/Y part of the work.
A complete the whole work in 12 days.
In 1 day A can complete 1/12 part of the work.
Together A and B complete the work in 4 days.
In 1 day together they complete 1/4 part of the work.
According to the problem,
together's 1 day work = 1/4
or, 1/Y +1/12=1/4
or, 1/Y= 1/4 - 1/12
or, 1/Y = 2/12
or, 1/Y = 1/6
or, Y=6
Therefore, B can complete the whole work in 6 days
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Answer:
1/4 days can h completed
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