# In How Many Days Shall B Finish the Whole Work Alone? If

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

- 30 days
- 40 days
- 70 days
- 60 days

**Answer: (4) 60 days
Explanation:-**

Let A can do the work = X days. And B can do the do the work = Y days

According to the question,

X + Y = 1/30 . ………………(1)

and 16X + 44Y = 1 …………….(2)

Solve equation (1) and (2)

X = 1/60 and Y = 1/60

Therefore, A can do finish the work = 60 days and B can do finish the work = 60 days.

Hence, the answer is (4) 60 days.