12 women and 16 men can do a piece of work in 11 days. If each woman takes twice the time taken by a man to do the work, in how many days will 16 men do the same work?

Given

12 women and 16 men can complete the work in 11 days

Each woman takes twice the time taken by a man to complete the work

Concept:

Total work = (Number of people × Time taken to complete the work)/Time in which they do the work together

Calculation:

1 woman’s 1-day work = 1 man's 2-days work (as a woman takes twice the time than a man)

(12/2) men + 16 men = 22 men can finish the work in 11 days

1 man can finish the work in 22 × 11 = 242 days

So, 16 men will finish the work in 242/16 = 121/8 days

Therefore, 16 men can do the work in 121/8 days.