Q126
ArithmeticTime & Work, Pipes & Cisterns
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
- a.35
- b.40
- c.45
- d.50
Answer: (B) 40
The total work gives 8(4m + 6w) = 10(3m + 7w), so 32m + 48w = 30m + 70w and one man equals 11 women. Then 4 men + 6 women = 50 women, who take 8 days, so the work is 400 woman-days. 10 women need 400 ÷ 10 = 40 days.