Two trains are running in the same direction. The speeds of two trains are 5km/h and15 km/h, respectively. What will be the relative speed of second train with respect to first?

Answer

To solve the problem of finding the relative speed of the second train with respect to the first train, follow these steps:

### Step-by-Step Solution:

1. **Identify the speeds of the trains**:
- Let the speed of the first train (Train A) be \( S_A = 5 \text{ km/h} \).
- Let the speed of the second train (Train B) be \( S_B = 15 \text{ km/h} \).

2. **Understand the direction of movement**:
- Both trains are moving in the same direction.

3. **Calculate the relative speed**:
- When two objects are moving in the same direction, the relative speed is calculated by subtracting the speed of the slower object from the speed of the faster object.
- Therefore, the relative speed of Train B with respect to Train A is given by:
\[ \text{Relative Speed} = S_B - S_A \]
- Substitute the values:
\[ \text{Relative Speed} = 15 \text{ km/h} - 5 \text{ km/h} = 10 \text{ km/h} \]

4. **Conclusion**:
- The relative speed of the second train with respect to the first train is \( 10 \text{ km/h} \).

### Final Answer:
The relative speed of the second train with respect to the first train is **10 km/h**.

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