A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?

To find the time it takes for the train to pass the man, we need to determine the relative speed between the train and the man.

The speed of the train is given as 68 kmph, which we can convert to meters per second by multiplying by 5/18. So, the speed of the train is (68 * 5/18) m/s = 340/18 m/s = 85/9 m/s.

The speed of the man is given as 8 kmph, which we can convert to meters per second by multiplying by 5/18. So, the speed of the man is (8 * 5/18) m/s = 40/9 m/s.

Since the man is running in the same direction as the train, we need to subtract the speed of the man from the speed of the train to get the relative speed. So, the relative speed is (85/9) - (40/9) = 45/9 m/s = 5 m/s.

Now, we can calculate the time it takes for the train to pass the man by dividing the length of the train (150 m) by the relative speed (5 m/s). So, the time taken to pass the man is 150/5 = 30 seconds.

Therefore, it takes 30 seconds for the train to pass the man who is running at 8 kmph in the same direction as the train.