# In how many days can A and B together complete the same work?

A alone can complete a work in 6 days and B alone can complete the same work in 12 days. In how many days can A and B together complete the same work?

- 5 days
- 4 days
- 3 days
- 2 days

**Answer: (2) 4 days**

**Explanation:-**

A alone can complete work = 6 days.

A can do work in a day = 1/6

B alone can complete work = 12 days.

B alone can do work in a day = 1/12

A & B together can do work in a day = 1/6 + 1/12

= (2 + 1)/12

= 3/12

= 1/4

Then, A & B together can compete the work = 4 days.

Hence, the answer is (2) 4 days.