Question

20 men, 35 women and 20 children together complete a work in 6 days. 10 men and 30 women together complete the same work in 10 days, 20 women and 20 children together complete the work in 15 days. in how many days 30 men, 15 women and 30 children together can complete the work.

Answer 1

In 15 days, 30 men, 15 women, and 30 children together can complete the work.

The work rates can be determined using the given information. Let the work rate of a man, woman, and child be represented by M, W, and C, respectively.

From the first scenario, we get the equation 20M+35W+20C= 1/6.

Similarly, two more equations can be formed for the other scenarios. Solving these equations provides the values for M, W, and C.

By calculating the combined work rates of 30 men, 15 women, and 30 children, and considering the total work, we find that they can complete the work in 15 days.