A and B together can do a piece of work in 10 days if A alone will take 12 days to pain if the work how long will B take to finish the work
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If A completes the work in 12 days, then in one day the work done is 1/12th of the total work. Let the total work be 1.
Similarly for A and B to complete 1 work, they would take 4 days and in one day, 1/4th of total work is done by both of them.
So in one day A does 1/12th of the work and B does 1/B th of the work and together they complete 1/4th of the work.
Hence, 1/B + 1/12 = 1/4
Hence B =6.
Effectively B takes 6 days to complete the work.
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