Question

12 men can complete a piece of work in 4 days, while
15 women can complete the same work in 4 days.
6 men start working on the job and after working
for 2 days, all of them stopped working. How many
women should be put on the job to complete the
remaining work, if it is to be completed in 3 days?​

Answer 1

Answer:

12 men can complete a piece of work in 4 days

15 women can complete the same work in 4 days

Let the productivity of men be m and the productivity of women be w

Thus,

12m×4=15w×4

=>4m=5w

=>m=

4

5

w

Total work done by women =60w

Work done by 6 men in 2 days =6m×2

=6×

4

5

×2

=15w

Thus, remaining work =60w−15w

=45w

Let F women complete the remaining job in 3 days

Thus, Fw×3=45w

=>F=

3

45

=>F=15

Thus, 15 women are required to complete the job.