A 270 m long train is running at 81 km/hr. How much time will it take ...
To calculate the time it takes for the train to cross the platform, we need to determine the relative speed between the train and the platform.
Given:
Length of the train = 270 m
Speed of the train = 81 km/hr
Length of the platform = 225 m
Converting the speed of the train from km/hr to m/s:
81 km/hr = (81 * 1000) m/3600 s = 225/10 m/s = 22.5 m/s
Calculating the relative speed:
Relative speed = Speed of the train - Speed of the platform
Relative speed = 22.5 m/s - 0 m/s (since the platform is stationary)
Relative speed = 22.5 m/s
To calculate the time taken to cross the platform, we divide the total distance (length of the train + length of the platform) by the relative speed.
Total distance = Length of the train + Length of the platform
Total distance = 270 m + 225 m
Total distance = 495 m
Time taken = Total distance / Relative speed
Time taken = 495 m / 22.5 m/s
Time taken = 22 sec
Therefore, it will take 22 seconds for the train to cross the 225 m long platform.
Hence, the correct answer is option C) 22 sec.
A 270 m long train is running at 81 km/hr. How much time will it take ...
22 sec