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      Question

      A train takes 10 seconds more to cross a 250-metre-long

      platform than it takes to cross a pole. If a car running at the speed of 40 m/s takes 55 seconds to completely overtake the train, then find the length of the train.
      A 660 m Correct Answer Incorrect Answer
      B 560 m Correct Answer Incorrect Answer
      C 825 m Correct Answer Incorrect Answer
      D 720 m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, The extra 10 seconds is taken by train to cross the platform, therefore Speed of the train = 250 ├╖ 10 = 25 m/s So, relative speed of the car with respect to the train = 40 - 25 = 15 m/s (Since, both are travelling in same direction) Therefore, length of the train = 15 ├Ч 55 = 825 metres

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