Time & Work

Twenty four children can complete a work in twelve days whereas sixteen men can complete the same work in nine days. In How many days will twelve men and twelve children comlete the same work ?

** Option:**

**A.**6

**B.**9

**C.**8

**D.**None

**Answer: C . 8**

** Justification:**

24 Children can finish a work in = 12 days.

16 men can finish a work in = 9 days.

So, in 12 days number of men who can finish the work = (16 X 9) / 12 = 12 men.

So, 24 Children = 12 men or 2 children = 1 man.

So, 12 men and 12 children = 12 men + 6 men = 18 men.

Now, 16 men can finish a work in = 9 days.

1 man can finish a work in = 9 x 16 days.

18 men can finish a work in = (9 X 16) / 18 = 8 days.