A takes twice as much time as B and thrice as much time as C to finalise a task. Working together, they can complete the task in 8 days. The time (in days) taken by A, B and C, respectively, to complete the task is:

48, 24, 16

Efficiency ∝ \(\frac{1}{time}\)

                 A : B : C

Time          3  :   : 1

                 2 : 1

            ______________

Time          6 : 3 : 2

Efficiency   1 : 2 : 3    

Adding efficiency 1 + 2 + 3 = 6 

work = efficiency x time taken = 8 x 6 = 48 units

So, A finalizes the work in = 6 x 8 = 48 days

So, B finalizes the work in = 3 x 8 = 24 days

So, C finalizes the work in = 2 x 8 = 16 days

Therefore time taken by A, B and C, respectively, to complete the task is:

48, 24, 16.