We can start by converting the speed of the train from km/h to m/s:
63.36 km/h = 63.36 * 1000 m/3600 s = 17.6 m/s
We can use the formula:
distance = speed x time
to find the distance the train travels in 8 seconds. Since the person is walking in the same direction as the train, the relative speed between the train and the person is the difference between their speeds:
relative speed = train speed - person speed
The train covers the length of itself (152 meters) plus the distance traveled by the person in 8 seconds. We can set up the equation:
152 = (17.6 - person speed) x 8 + person speed x 8
152 = 140.8 - 8 person speed + 8 person speed
152 - 140.8 = 0.8 person speed
11.2 = 0.8 person speed
person speed = 11.2 / 0.8 = 14 m/s
Therefore, the person is walking at a speed of 14 m/s.