The train took 3 hours to reach A from B. C is at the middle of A and B and situated at equal distance from A and B. If the train travels at 30 KMs speed on an average, what is the distance of C from A?

Let's solve the problem step by step:

1. **Time taken to travel from B to A:**  
   The train took 3 hours to travel from B to A.

2. **Speed of the train:**  
   The train travels at an average speed of 30 km/h.

3. **Distance from B to A:**  
   Using the formula:
   \[
   \text{Distance} = \text{Speed} \times \text{Time}
   \]
   \[
   \text{Distance from B to A} = 30 \text{ km/h} \times 3 \text{ hours} = 90 \text{ km}
   \]

4. **Distance of C from A:**  
   Since C is exactly in the middle of A and B, the distance from A to C is half of the total distance from B to A.
   \[
   \text{Distance from A to C} = \frac{90 \text{ km}}{2} = 45 \text{ km}
   \]

Thus, the distance of C from A is **45 km**.

Would you like more details or have any questions?

Here are five related questions:

1. How long would the train take to travel from C to A?
2. What is the total distance the train travels from A to B and back?
3. If the train's speed increases to 40 km/h, how long will it take to reach C from B?
4. What is the distance of C from B?
5. If another station D is 15 km away from C towards B, what is the distance from A to D?

**Tip:** When solving distance-speed-time problems, always identify what you're solving for and use the appropriate formula.

Learn how to calculate the distance of point C from point A using the speed-time formula. This problem involves understanding distances, speeds, and time taken for travel, suitable for students in Grades 6-8.

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