X can completed a job in 12 days. If X and Y work together,

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X can completed a job in 12 days. If X and Y work together, they can complete the job in 6²/₃ days, Y alone can complete the job in

1. 10 days
2. 12 days
3. 15 days
4. 18 days

Correct Option: C

X's 1 day's work = 1/12
(X + Y)' s 1 day's work = 3/20
∴ Y's 1 day's work = (3/20) - (1/12) = 4/60 = 1/15
∴ Number of day's taken by Y to complete the work = 15 days