# In How many Days B can Do the Work Alone? If

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

- 4 days
- 6 days
- 12 days
- 15 days

**Answer: (2) 6 days**

**Explanation:-**

Let A, B & C take time to finish the work = X, X/2 & X/3

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

B can work in a day = 2/ X

C can work in a day = 3 / X

Then, A, B & C together can work in a day = 1/X + 2/X + 3/X = 1/2

(1 + 2 + 3) / X = 1/ 2

6 / X = 1/ 2

X = 12

Therefore, B can finish the work = X / 2 = 12/ 2 = 6 days.

Hence, the answer is (2) 6 days.