36 men and 48 women can do a certain work in one day whereas 6 men and 12 women can do it in 5 days. The number of women required to do the same work in 8 days is:
As we know,Â
Total work = Efficiency $$\times\ $$ Time
Given,Â
36 men and 48 women can do a certain work in one day whereas 6 men and 12 women can do it in 5 days.Â
Therefore ,Â
(36m + 48w)$$\times\ $$1 = (6m+12w)$$\times\ $$5Â
$$\therefore\ $$36m + 48w = 30m + 60wÂ
$$\therefore\ $$ 6m = 12w
$$\therefore\ \frac{m}{w}=\frac{2}{1}$$
total work = ((36$$\times\ $$2) + (48$$\times\ $$1))$$\times\ $$1
= 72 + 48 = 120 units
Number of womens required to complete the total work in 8 days =Â $$\frac{120}{8}=15$$
Hence, Option B is correct.Â
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