A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
A). 6 3/7 days
B). 5 3/7 days
C). 4 3/7 days
D). 3 3/7 days
3 3/7 days
When A, B and C can do a work in x, y and z days respectively. Then, the three of them
together can finish the work in xyz/ x y + y z + x z days
Therefore, the No. of days taken by them together = 24 × 6 × 12/24 × 6 + 6 × 12 + 24 × 12
= 24 × 6 × 12/ 504 = 3 3/7 days.