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      Question

      Train P crosses a 350-meter-long

      platform in 42 seconds. It can cross a stationary pole in 14 seconds. What is the time taken by Train P to overtake Train Q, which is moving in the same direction at a speed of 60 km/h, given that the lengths of both trains are equal?
      A 54 secs Correct Answer Incorrect Answer
      B 84 secs Correct Answer Incorrect Answer
      C 55 secs Correct Answer Incorrect Answer
      D 45 secs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the length of train P = 'a' m Speed of train P = 'b' Kmph a+350 = b ├Ч 5/18 ├Ч 42 a+350 = 35b/3 3a+1050 = 35b тЖТ1 a = b ├Ч 5/18 ├Ч 14 9a = 35b тЖТ 2 3a+1050 = 9a 6a = 1050 a=175 9a├Ч175 = 35b b = 45Kmph The length of train Q = 175 m 175+175 = (60 - 45)├Ч5/18 ├Ч time taken 350 = 15 ├Ч 5/18 ├Ч time taken Required answer = 84 seconds

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