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**Question:**
A train can travel **50% faster** than a car. Both start from point A at the same time and reach point B, which is **75 km away from A**, at the same time. On the way, however, the train had lost about **125 minutes** while stopping at stations. What is the speed of the car?

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Let's break this problem down and solve it step by step.

### Solution Steps:

1. **Let the speed of the car be \(v\) km/h.**
   
   The train is 50% faster than the car, so the speed of the train would be:
   \[
   \text{Train's speed} = 1.5 \times v = 1.5v \, \text{km/h}
   \]

2. **Distance:**
   The distance between A and B is given as 75 km.

3. **Time for the car to travel:**
   The time taken by the car to cover this distance is:
   \[
   \text{Time for the car} = \frac{75}{v} \, \text{hours}
   \]

4. **Time for the train (including delay):**
   The train also covers 75 km but loses **125 minutes** (or **2 hours and 5 minutes**, which equals **2.083 hours**) due to stopping at stations. So the time taken by the train is:
   \[
   \text{Time for the train} = \frac{75}{1.5v} + 2.083 \, \text{hours}
   \]

5. **Both the car and the train reach at the same time, so their total travel times are equal:**

   \[
   \frac{75}{v} = \frac{75}{1.5v} + 2.083
   \]

6. **Solve for \(v\):**

   Now we can solve this equation to find the speed of the car \(v\).

Let me calculate this.The speed of the car is approximately **12 km/h**.

Would you like more details on the solution, or do you have any questions?

Here are some related questions to explore further:

1. How would the answer change if the train lost 150 minutes instead of 125?
2. What would be the train's speed if the car's speed is 12 km/h?
3. If the distance between points A and B increased to 100 km, how would that affect the car's speed?
4. What would happen if the train and car did not start at the same time but still reached at the same time?
5. How would the equation change if the train were 60% faster than the car?

**Tip:** Always convert time to consistent units (hours, minutes, etc.) to avoid errors when solving time-speed-distance problems.

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 km away from A, at the same time. On the way, however, the train had lost about 125 minutes while stopping at stations. What is the speed of the car?

Solve a time and distance problem involving a train that is 50% faster than a car, both traveling 75 km from point A to point B. The train is delayed by 125 minutes, and this detailed solution provides the steps to calculate the speed of the car.

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