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      Question

      The length of train 'R' is 'd' metres and that of train 'S'

      is (d + 200) metres. If the speeds of train 'R' and 'S' are 90 km/h and 30 km/h, respectively, and they take 15 seconds to cross each other while travelling in opposite directions, then find the length of train 'R'.
      A 125 m Correct Answer Incorrect Answer
      B 176 m Correct Answer Incorrect Answer
      C 150 m Correct Answer Incorrect Answer
      D 105 m Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of train 'R' = 90 × (5/18) = 25 m/s

      Speed of train 'S' = 30 × (5/18) = 8.33 m/s

      ATQ;

      {(200 + 2d)/(25 + 8.33)} = 15

      Or, 200 + 2d = 500

      Or, 2d = 300

      Or, d = 150

      So, length of train 'R' = 150 metres

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