Question

6 men or 10 women can do a piece of work in 12 days. In how many days
can the same work be done by 3 men and 5 women ?
(A) 6 days(B) 12 days(C)18 days (D) 24 days​

Answer 1

Answer:

12 is the answer by the method

Answer 2

Answer:

3 men and 5 women are exactly half the workforce that would take to complete the work in 12 days, so they would take twice as much time, or 24 days.

Question now asks about: “6 men or 10 women can do a work in 12 days. […]”.

In that case, the answer would be 12 days. Since both the 3 men and the 5 women each comprise half the workforce that would take to complete said work in 12 days, together they would take that same amount of time.

Another way to look at it would see that 6 men do the same amount of work as 10 women, so,

6[men]=10[women] , and multiplying both sides by 1/2 we get,

3[men]=5[women] , and the question asks about,

3[men]+5[women] , replace the men with women and we get,

5+5[women]=10[women] .

So, that workforce of 3 men and 5 women would do the same as 10 women, and would take 12 days.