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Question

A train speeds past a pole in 15 seconds and a platform 100 m long in 25seconds. Its length is:

Options:
A .  50 m
B .  150 m
C .  200 m
D .  Data inadequate
E .  None of these
Answer: Option B
 -  Let the length of the train be x metres and its speed by y m/sec.
Then, x = 15           y = x . y 15  
  x + 100 = x 25 15
 15(x + 100) = 25x
 15x + 1500 = 25x
 1500 = 10x
 x = 150 m

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