# A alone can do 1/4^{th} of the work in 2 days. B alone can do 2/3^{rd} of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?

A alone can do 1/4^{th} of the work in 2 days. B alone can do 2/3^{rd} of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?

A. 1/12

B. 1/8

C. 1/6

D. 1/20

**Answer : **A. 1/12

## Explanation:

A can do the total work in 8 days, and B can do it in 6 days.

Let the total work be 24 units.

Now,

A = 24/8 = 3

B = 24/6 = 4

A + B + C = 24/3 = 8

So Capacity of C = 1 unit.

In two days C will do 2 units which is 2/24^{th} part of the total work. So **1/12 ^{th}** part.