correct answer is: a) 16 days

Explanation

The ratio of daily work A and B is 4\;:\;3.
And, A can do the work in 12 days.
Let, B can do the work in ‘x’ days.
According to the question,
4\;:\;3 = 12\;:\;x
\rightarrow\large\frac{4}{3}\normalsize=\large\frac{12}{x}
\rightarrow 4x=\left(12\times3\right)
\rightarrow x=\large\left(\frac{12\times3}{4}\right)
\rightarrow x=16
\therefore B can do the work in 16 days.
Ans: 16 days.

This precise math question can be conveyed differently as well:

1. The daily work ratio of A to B is 4 : 3. If A can complete the work in 12 days, determine the number of days needed by B to finish the same task.
2. If A and B have a daily work ratio of 4 : 3 respectively, and A can complete the work in 12 days, what is the number of days B would take to complete the task independently?
3. Find the number of days needed by B to complete a task alone, given that the ratio of A’s daily work to B’s daily work is 4 : 3, and A can finish the task in 12 days.