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      Question

      A train travelling with a speed of ‘x’ km/h can

      cross a pole in 6 seconds, and a 180 metre long platform in 15 seconds. Find the distance travelled by the train in 7 hours.
      A 360 km Correct Answer Incorrect Answer
      B 432 km Correct Answer Incorrect Answer
      C 490 km Correct Answer Incorrect Answer
      D 504 km Correct Answer Incorrect Answer

      Solution

      Let speed of train = y m/s
      So, length of train = 6 × y = 6y metres

      According to question:
      6y + 180 = 15y
      ⇒ 9y = 180
      ⇒ y = 20 m/s

      So, x = 20 × 18/5 = 72 km/h
      Desired distance = 72 × 7 = 504 km

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