Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes, does the train stop?

Options

A. 20
B. 15
C. 25
D. 45

Answer

To find out how many minutes the train stops, we can use the relationship between speed, distance, and time.

### Step-by-Step Solution:

1. **Understand the Problem**:
- The speed of the train without stoppages is 150 km/h.
- The speed of the train with stoppages is 100 km/h.
- We need to find out how long the train stops.

2. **Let’s Assume a Distance**:
- For simplicity, let's assume the train travels a distance of 150 km. This will help us calculate the time taken easily.

3. **Calculate Time Without Stoppages**:
- Time = Distance / Speed
- Time without stoppages = 150 km / 150 km/h = 1 hour (or 60 minutes).

4. **Calculate Time With Stoppages**:
- Time with stoppages = 150 km / 100 km/h = 1.5 hours (or 90 minutes).

5. **Calculate the Stoppage Time**:
- Stoppage Time = Time with stoppages - Time without stoppages
- Stoppage Time = 90 minutes - 60 minutes = 30 minutes.

6. **Conclusion**:
- The train stops for 30 minutes.

### Final Answer:
The train stops for **30 minutes**.