24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
Data is inadequate to draw any conclusion
Calculation:
24 men and 12 women can do a piece of work in 30 days.
We have to find in how many days 12 men and 24 women can do the same piece of work.
There can be 3 possibilities:
1.) If men are more efficient than women.
In this case, the number of days to complete the whole work will be greater than 30 days. Because number of men are reduced and number of women are increased.
2.) If women are more efficient than men.
In this case, the number of days to complete the whole work will be less than 30 days. Because number of men are reduced and number of women are increased.
3.) If women and men are equally efficient
In this case, the number of days to complete the whole work will be 30. Because the number of men and women are changed in equal proportion.
So, the data given in the questioin is inadequate to answer the question.
Hence, option 4 is correct.
Important Questions from Work Efficiency
A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3 : 2. In how many days can the faster person complete the job?
A takes 15 days to complete \(\frac{5}{7} \) of a work. With the help of B, they finish the whole work in 12 days. In how many days, B alone will complete the same work
A alone can complete a work in 14 days and B alone can complete the same work in 21 days. A and B start the work together but A leaves the work after 4 days of the starting of work. In how many days B will complete the remaining work?
For completing a certain work, A is 50% less efficient than B and B is 50% more efficient than C. Working together A, B and C can complete the work in 48 days. A alone can complete the same work in:
30 persons can do a piece of work in 24 days. How many more persons are required to complete the work in 20 days?
