Step 1: Calculate individual 1-day work rates

Jaggu completes 1 chair in $3$ days, so his 1-day work is $\frac{1}{3}$ of a chair. Rabbu completes 1 chair in $4$ days, so his 1-day work is $\frac{1}{4}$ of a chair.

$\text{Jaggu's Rate} = \frac{1}{3}, \quad \text{Rabbu's Rate} = \frac{1}{4}$

Step 2: Find combined 1-day work rate

When working together, their combined 1-day work is the sum of their individual rates: $\frac{1}{3} + \frac{1}{4} = \frac{7}{12}$ of a chair per day.

$\text{Combined Rate} = \frac{1}{3} + \frac{1}{4} = \frac{7}{12}\text{ chairs/day}$

Step 3: Calculate total time required for 14 chairs

To make 14 chairs together, divide the total number of chairs by their combined daily rate: $\text{Time} = \frac{14}{7/12} = 14 \times \frac{12}{7} = 24\text{ days}$.

$\text{Time} = \frac{14}{\frac{7}{12}} = 14 \times \frac{12}{7} = 24\text{ days}$