Correct Answer - Option 2 : 12 days
Given:
Time taken by X to finish a piece of work is twice the time taken Y and thrice the time taken by Z
X, Y, and Z together takes = 4 days
Calculation:
Time taken by X = x days
Time taken by Y = x/2 days
Time Taken by Z = x/3 days
⇒ (1/x) + (2/x) + (3/x) = 1/4
⇒ 6/x = 1/4
⇒ x = 24
∴ Time taken by B = x/2
⇒ 24/2
⇒ 12 days
∴ Y alone takes 12 days.