Without stoppage, the speed of a train is 54 km/h and with stoppage, it is 45 km/h. For how many minutes, does the train stop per hour?

Answer

To solve the problem, we need to find out how many minutes the train stops per hour given its speeds with and without stoppage.

### Step-by-Step Solution:

1. **Identify the speeds**:
- Speed without stoppage = 54 km/h
- Speed with stoppage = 45 km/h

2. **Calculate the distance covered in one hour without stoppage**:
- Distance = Speed × Time
- Distance without stoppage in 1 hour = 54 km/h × 1 hour = 54 km

3. **Calculate the distance covered in one hour with stoppage**:
- Distance with stoppage in 1 hour = 45 km/h × 1 hour = 45 km

4. **Determine the distance difference**:
- Distance difference = Distance without stoppage - Distance with stoppage
- Distance difference = 54 km - 45 km = 9 km

5. **Calculate the time taken to cover the distance difference at the speed without stoppage**:
- Time taken to cover 9 km at 54 km/h = Distance / Speed
- Time = 9 km / 54 km/h = 1/6 hours

6. **Convert the time taken into minutes**:
- Time in minutes = (1/6 hours) × 60 minutes/hour = 10 minutes

7. **Conclusion**:
- The train stops for **10 minutes per hour**.