'A' can do a piece of work in x days and B can do the same

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'A' can do a piece of work in x days and B can do the same work 3x days. To finish the work together they take 12 days. What is the value of x ?

1. 8
2. 10
3. 12
4. 16

Correct Option: D

A's 1 day's work A = 1/x
B's 1 day's work B = 1/3x
(A + B)'s 1 day's work = (1/x) + (1/3x) = 4/3x
And given one day work of both A and B = 1/12
⇒ 4/3x = 1/12
⇒ 3x = 48
⇒ x =16