A person X starts from Lucknow and another persons Y starts from Kanpur to meet each other. Speed of X is 25 km/h, while speed of Y is 35 km/h. If the distance between Lucknow and Kanpur be 120 km and both X and Y start their journey at the same time, when will they meet?

Options

A. 1 h later
B. 2 h later
C. `1/2` h later
D. 3 h later

Answer

To solve the problem, we need to determine when persons X and Y will meet while traveling towards each other from Lucknow and Kanpur, respectively.

### Step-by-Step Solution:

1. **Identify the speeds and distance:**
- Speed of X (from Lucknow) = 25 km/h
- Speed of Y (from Kanpur) = 35 km/h
- Distance between Lucknow and Kanpur = 120 km

2. **Calculate the combined speed:**
- Combined speed of X and Y = Speed of X + Speed of Y
- Combined speed = 25 km/h + 35 km/h = 60 km/h

3. **Use the formula to find the time taken to meet:**
- Time = Distance / Combined Speed
- Time = 120 km / 60 km/h = 2 hours

4. **Conclusion:**
- Therefore, persons X and Y will meet after 2 hours.

### Final Answer:
X and Y will meet after 2 hours.

---