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      Question

      Train 'A' is 300 meters long and it crosses a pole in

      15 seconds and it also passes Train 'B', which is moving in the opposite direction, in 12 seconds. If Train 'B' is 2 times as long as Train 'A', then find the distance travelled by Train B in 30 minutes.
      A 90 km Correct Answer Incorrect Answer
      B 96 km Correct Answer Incorrect Answer
      C 99 km Correct Answer Incorrect Answer
      D 102 km Correct Answer Incorrect Answer
      E 108 km Correct Answer Incorrect Answer

      Solution

      Speed of Train 'A' = 300 Γ· 15 = 20 m/s Length of Train 'B' = 2 Γ— 300 = 600 meters Combined length of Train 'A' and 'B' = 300 + 600 = 900 meters Relative speed of train 'A' w.r.t train 'B' when travelling towards each other = 900 Γ· 12 = 75 m/s So, speed of Train 'B' = 75 - 20 = 55 m/s Therefore, distance covered by Train B in 30 minutes = 55 Γ— 30 Γ— 60 = 99,000 meters = 99 km

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