# If C Alone can Finish the Work in 40 Days :

A does half as much word as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

- 40/3 days
- 15 days
- 20 days
- 30 days

**Answer: (1) 40/3 days**

**Explanation:-
**C does half as much as A and B together.

Then, Let (A + B) takes be = X days

Then, C takes to complete same work = 2X days.

Now, that C takes 40 days. (Given in the question)

So 2X = 40.

X = 20

Now, (A + B) takes = 20 days,

And, C takes 40 days,

Then A+B+C takes = 1/20 + 1/40

(2 + 1)/40

= 3/40

Then, A, B and C takes to complete the work = 40/3 days

Hence, the answer is (1) 40/3 days.