A body takes 5 minute to cool from `65^(@) C` to `60^(@) C` and 7 minute to cool from `60^(@)C` to `55 ^(@) C`. find out the room temperature and the time it will take to cool `55 ^(@) C` to `50^(@) C.`

Explanation

To solve the problem, we will use Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the ambient temperature (room temperature).

### Step-by-Step Solution:

1. **Identify the given data:**
- The body cools from 65°C to 60°C in 5 minutes.
- The body cools from 60°C to 55°C in 7 minutes.

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