A train takes 10 seconds to cross a man standing on a platform and 44 seconds to cross the platform. What is the length of the platform if the speed of the train is 72 km/hr?

680 m

Speed_train = \(\frac{Distance}{Time }\)

72*\(\frac{5 }{18 }\) m/sec = \(\frac{\text{length of train}}{10 }\)

length of train = 200 m

In order to find the length of platform:

72*\(\frac{5 }{18 }\) m/sec = \(\frac{\text{Length of platform + 200} }{ 44}\) 

20 × 44 = Length of train + 200

880 - 200 = Length of train

length of the platform = 680m