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      Question

      The speeds of train 'A' and 'B' are 12 m/s and 18 m/s,

      respectively. Whereas the lengths of train 'A' and 'B' are in the ratio 5:7, respectively. If the trains take 6 seconds to cross each other while travelling in opposite directions, then find the length of train 'A'.
      A 75 metres Correct Answer Incorrect Answer
      B 90 metres Correct Answer Incorrect Answer
      C 100 metres Correct Answer Incorrect Answer
      D 120 metres Correct Answer Incorrect Answer

      Solution

      Let the length of trains 'A' and 'B' be '5x' metres and '7x' metres, respectively. ATQ; {5x + 7x}/{12 + 18} = 6 {12x/30} = 6 12x = 180
      or, x = 15
      So, length of train 'A' = 5x = 5 × 15 = 75 metres

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