# How Much Time will be Taken by B?

A can do a piece of work in 10 days and B can do it in 20 days. They start the work together. But after 5 days, A leaves off. B will do the remaining work in

- 5 days
- 6 days
- 8 days
- 10 days

**Answer: (1) 5 days**

**Explanation:-
**A can do a piece of work = 10 days

Therefore, A can a piece of work in a day = 1/10

B can do the same work = 20 days

Therefore, B can the same work in day = 1/20

Then, A and B can together in a day = 1/10 + 1/20

= (2 + 1) /20

= 3/20

A and B can together work in 5 days = 5 x 3 /20

= 15/20

Then, the remaining work = 1 – 15/20

= (20 – 15)/20

= 5/20

= 1/4

Then, B can the remaining work = 20/4 = 5 days

Hence, the answer is (1) 5 days.