# Find the Number of Days Required to Finish the Work by A and C :

A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A,B,C completer it in 6 days, Number of days required to finish the work by A and C is

- 8
- 24
- 12
- 16

**Answer is (1): 8**

**Explanation:-**A and B can do a piece of work = 8 days

Therefore, A and B can do a piece of work in a day = 1/8

B and C can do the same work = 12 days

Therefore, B and C can do the same work inn a day = 1/12

A, B and C can do the same work = 6 days

Therefore, A, B and C can do the same work in a day = 1/6

Then, A and C can do the same work in a day = 2/6 – (1/8 + 1/12)

= 1/3 – (3 + 2)/24

= 1/3 – 5/24

= (8 – 5)/24

= 3/24

= 1/8

Therefore, A and C can the same work = 8 days.

Hence, the answer is (1) 8.