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To determine how long it takes for the train to pass a man standing on the platform, follow these steps:
Convert the train’s speed into meters per second (m/s):
The speed of the train is 60 km/h.
Convert km/h to m/s using the formula:
Speed (m/s)=Speed (km/h)×1000/3600
Speed (m/s)=Speed (km/h)×3600/1000
So,60km/h×1000/3600=16.67m/s
60km/h×3600/1000=16.67m/s
Calculate the time it takes to pass the man:
The length of the train is 150 meters.
Time is calculated by dividing the length of the train by its speed:
Time=Length of Train/Speed
Time=Speed/Length of Train
So,Time=150meters/16.67m/s≈9seconds
Time=16.67m/s/150meters≈9seconds
Thus, it will take approximately 9 seconds for the train to pass a man standing still on the platform.