A train running at 54 kmph takes 20 seconds to pass a platform. Next it takes 12 seconds to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform.

• :Let the length of train be x metres and length of platform be y metres.
  
  Speed of the train relative to man = (54 - 6) kmph = 48 kmph
  
  = 48*(5/18) m/sec = 40/3 m/sec.
  
  In passing a man, the train covers its own length with relative speed.
  
  Length of train = (Relative speed * Time) = ( 40/3)*12 m = 160 m.
  
  Also, speed of the train = 54 *(5/18)m / sec = 15 m / sec.
  
  (x+y)/15 = 20 x + y = 300 Y = (300 - 160) m = 140 m.
• 12 years agoHelpfull: Yes(16) No(0)
• 300m is the length of the Paltform and 480m is the Length of the train.
  
  explanation:
  platfom will be crossed at speed of 54kmph in 20 seconds means 20*54*(5/18). Solving this gives the length of the flatform.
  
  takes 12 seconds to pass a man walking at 6 kmph in the same direction in which the train is going means relative speed of the train will be 54-6 =48kmph
  Train length will be = 48*12*5/18. solving this equation gives the length of the train
• 13 years agoHelpfull: Yes(1) No(6)