12 men can complete any work in 36 days. 18 women can complete the sam...
Given information:● 12 men can complete any work in 36 days
● 18 women can complete the same piece of work in 60 days
● 8 men and 20 women work together for 20 days
● Only the women were to complete the remaining work in 4 days
To find:How many women would be required to complete the work in 4 days?Solution:Let's first find the efficiency of each man and woman. Efficiency is defined as the amount of work done by an individual in one day.
Efficiency of 1 man = 1/ (12 x 36) = 1/432
Efficiency of 1 woman = 1/ (18 x 60) = 1/1080
Now, let's calculate the work done by 8 men and 20 women working together for 20 days.
Work done by 8 men and 20 women in 1 day = (8 x 1/432) + (20 x 1/1080) = 1/36
Work done by 8 men and 20 women in 20 days = 20 x (8 x 1/432 + 20 x 1/1080) = 5/9
This means that 8 men and 20 women completed 5/9 of the work in 20 days. So, the remaining work to be done is 4/9.
Let's assume that x women are required to complete the remaining work in 4 days.● Work done by x women in 1 day = x/ (18 x 60) = x/1080
● Work done by x women in 4 days = 4x/1080 = x/270
According to the given information, the remaining work to be done is 4/9. So, we can equate the work done by x women in 4 days to 4/9 and solve for x.
x/270 = 4/9
x = (4/9) x 270
x = 120
Therefore, 120 women are required to complete the remaining work in 4 days.Answer: Option E