Two trains are moving in opposite directions withs peed s of 4m/s and 8m/s,respectively.Find their relative speed.

Answer

To find the relative speed of two trains moving in opposite directions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the speeds of the trains**:
- Let the speed of the first train (T1) be \( S_1 = 4 \, \text{m/s} \).
- Let the speed of the second train (T2) be \( S_2 = 8 \, \text{m/s} \).

2. **Understand the concept of relative speed**:
- When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.

3. **Calculate the relative speed**:
- Using the formula for relative speed when moving in opposite directions:
\[ \text{Relative Speed} = S_1 + S_2 \]
- Substitute the values:
\[ \text{Relative Speed} = 4 \, \text{m/s} + 8 \, \text{m/s} = 12 \, \text{m/s} \]

4. **State the final answer**:
- The relative speed of the two trains is \( 12 \, \text{m/s} \).