A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each of them take to complete the job?

Explanation

To solve the problem step by step, we will denote the work done by A, B, and C in one day as \( A \), \( B \), and \( C \) respectively.

### Step 1: Set up the equations based on the given information

1. **A and B together can complete the work in 12 days:**
\[ A + B = \frac{1}{12} \quad \text{(Equation 1)} \]
...