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:
Answer & explanation
Correct answer: option 2
36M + 48W = 1 day ..(1.)
6M + 12W = 5 days,
30M + 60W ..(2) (Multiplied by 5 to get it done in 1 day)
Now, (1) - (2), we get
⇒ 6M =12W
⇒ M : W = 12 : 6 = 2 : 1 (Efficiencies)
Putting efficiency in equation (1), and we get the total work
⇒ [36 (2) + 48 (1)] = 120 units.
⇒ No. of women required complete the total work in 8 days = \(\frac{120}{W(1)}\) = 8 days,
⇒ \(\frac{120}{8}\) = Women
⇒ No. of Women required to complete the work in 8 days = 15 women.