16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will it take them to complete the remaining work?

06

Total work = No.of person × Time

ATQ,

⇒ 16W × 12 = 12M × 8

⇒ 2W = 1M

⇒ Efficiency Ratio = M : W = 2 : 1

According to 1st condition, Total work = (16 × 1) × 12 = 192

Now,

Work done by 16 men in 3 days = (16 × 2) × 3 = 96

Remaining work = 192 - 96 = 96

After 3 days work is to finished by : 6 men and 4 women with the efficiency = (6 × 2) + (4 × 1) = 16

So time to finish the remaining work = \(\frac{96}{16}\) = 6 days