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Average Speed

a 100 metre l...

Question

a 100 metre long train takes 36/5 seconds to cross a man walking at a speed of 5 km/hr in a direction opposite to that of the train. calculate speed of the train.

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Solution

$R e l a t e d s p e e d = \frac{T o t a l d i s \tan c e}{T o t a l t i m e} = \frac{100}{36 / 5} \times \frac{18}{5} = 50 K m / h r R e l a t i v e S p e e d = S p e e d o f t r a i n (v_{t}) - S p e e d o f m a n (v_{m}) 180 = v_{t} - 5 v_{t} = 180 + 5 = 185 K m / h r$

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