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      Question

      The speeds of train 'A' and 'B' are 14 m/s and 21 m/s,

      respectively. Whereas the lengths of train 'A' and 'B' are in the ratio 2:3, respectively. If the trains take 10 seconds to cross each other while travelling in opposite directions, then find the length of train 'A'.
      A 120 metres Correct Answer Incorrect Answer
      B 160 metres Correct Answer Incorrect Answer
      C 100 metres Correct Answer Incorrect Answer
      D 140 metres Correct Answer Incorrect Answer

      Solution

      Let the length of trains 'A' and 'B' be '2x' metres and '3x' metres, respectively. ATQ; {2x + 3x}/{14 + 21} = 10
      {5x/35} = 10
      5x = 350
      or, x = 70 So, length of train 'A' = 2x = 2 ├Ч 70 = 140 metres

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