'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?

8
10
12
16

Correct Answer: 16

Explanation:

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

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