Three men and four women can do a piece of work in 7 days, whereas 2 men and 1 women can do it in 14 days. 07 women will complete the same work in:
Answer & explanation
Correct answer: option 1
Total Work = (3M + 4W) × 7 .....(i)
Total Work = (2M + 1W) × 14 .....(ii)
ATQ, Total work is same, then
(3M + 4W) × 7 = (2M + 1W) × 14
3M + 4W = (2M + 1W) × 2
3M + 4W = 4M + 2W
1M = 2W
⇒ M : W = 2 : 1
From (i),
Total work = (6 + 4) × 7 = 70
⇒ Efficiency of 7 women = 7 × 1 = 7
Therefore,
7 women will do the work in = \(\frac{70}{7}\)= 10 days