A and B can complete a piece of work in 30 days, B and C in 20 days while C and A in 15 days. If all of them work together, the time taken in completing the work will be :
A and B can complete a piece of work in 30 days, B and C in 20 days while C and A in 15 days. If all of them work together, the time taken in completing the work will be :
[A]
[B]
[C]
[D]
Work done by (A + B) in 1 day
Work done by (B + C) in 1 day
Work done by (C + A) in 1 day
On adding,
Work done by 2(A + B + C) in 1 day
∴ Work done by (A + B + C) in 1 day
∴ (A + B + C) will do the work in
Hence option [D] is correct answer.