A carnot engine has an efficiency 0.4. When the temperature of the source is increased by `20^(@)C` and the sink is reduced by `20^(@)C,` its efficiency is found to increase to 0.5. Calculate the temperature of source and sink.

Explanation

To solve the problem, we will use the efficiency formula for a Carnot engine and set up equations based on the given information.

### Step-by-Step Solution:

1. **Understanding Efficiency of Carnot Engine**:
The efficiency \( \eta \) of a Carnot engine is given by:
\[
\eta = 1 - \frac{T_2}{T_1}
...