10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
2 8/11
Work done by 10 women in 1 day = 1/6 ⇒ 1 woman = 1/(10×6) = 1/60.
Work done by 6 men in 1 day = 1/5 ⇒ 1 man = 1/(6×5) = 1/30.
Total work/day = (10×1/60) + (6×1/30) = 1/6 + 1/5 = 11/30.
Time = 1 ÷ (11/30) = 30/11 = 2 8/11 days.
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