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:
Answer & explanation
Correct answer: option 4
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.