**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 can use the concept of relative speed. The speed of the train relative to the man is the difference between the speed of the train and the speed of the man.

Given: Length of the train = 125 m

Time taken to pass the man = 10 seconds

Speed of the man = 5 km/hr

First, let's convert the speed of the man to meters per second:

5 km/hr = (5 * 1000) meters / (3600 seconds)

= 1.39 meters/second (approximately)

Now, let's find the relative speed of the train:

Relative speed = Speed of the train - Speed of the man

Since the man is running in the same direction as the train, the relative speed is the difference between their speeds:

Relative speed = Speed of the train - Speed of the man

We can use the formula:

Distance = Speed x Time 125 m = Relative speed x 10 seconds

Solving for the relative speed: j

Relative speed = 125 m / 10 seconds = 12.5 m/s

Now, let's convert the relative speed to kilometers per hour:

12.5 m/s = (12.5 * 3600) meters / (1000) km

= 45 km/hr

Finally, to find the speed of the train, we add the speed of the man to the relative speed:

Speed of the train = Speed of the man + Relative speed Speed of the train

= 5 km/hr + 45 km/hr = 50 km/hr

Therefore, the speed of the train is 50 km/hr.

Thank You