A man can do a work in 3 days alone and a women can do the same work in 9 days alone. If both are work together in how many days they finished the same work.
Man's 1 day's work =1/3
Woman's 1 day's work =1/9
(Man +Woman)'s 1 day's work =$\dfrac{A\times B}{A+B}$
=$\dfrac{3\times9}{12}$
=$\dfrac{9}{4}=2\dfrac{1}{4}$
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