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Question

A train speeds past a pole in 45 seconds and a platform 300 m long in 75 seconds. Its length is?

  • 150
  • 300
  • 450
  • 600
Answer- C

Let the length of the train be x meters and its speed by y m/sec.

Then, x/y = 45 => y = x/45 .

Therefore (x + 300)/75 = x/45

=> 15(x + 300) = 25x

=> 15x + 4500 = 25x

=> 4500 = 10x

=> x = 450 m.