A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is

To solve this problem, we need to first understand that the speed of the train relative to the man is the distance divided by the time taken.

1. The distance the train travels is equal to its length, which is 125 meters.

2. The time taken to pass the man is given as 10 seconds.

3. Therefore, the relative speed of the train to the man is 125 meters / 10 seconds = 12.5 m/s.

However, this speed is in meters per second, and we need to convert it to kilometers per hour.

4. To convert from m/s to km/hr, we multiply by 3.6 (since 1 m/s is equal to 3.6 km/hr). So, 12.5 m/s * 3.6 = 45 km/hr.

This is the speed of the train relative to the man. But we need to find the actual speed of the train.

5. The man is also running in the same direction at 5 km/hr. So, to get the actual speed of the train, we add the man's speed to the relative speed of the train.

6. Therefore, the speed of the train is 45 km/hr + 5 km/hr = 50 km/hr.