# In How Many Days B could do the Work Alone? If

A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is complete after 2 more days, B alone could do the work in how many days?

- 5
- 6
- 7
- 10

**Answer: (2) 6**

**Explanation:-**

A and B can complete a work = 3 days

Therefore, A and B can do work in a day = 1/3

They can do together work in 2 days = 2/3

Remaining work = 1 – 2/3

= 1/3

Then, A complete the remaining work = 2 days

Therefore, A can whole work complete = 2 x 3 = 6 days

Then, A can work in a day = 1/6

Therefore, B can work in a day = 1/3 – 1/6

= (2 – 1)/6

= 1/6

Then, B can complete the work = 6 days.

Hence, the answer is (2) 6 days.