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      Question

      Train P starts from Lucknow to Dehradun at 11:55 am with

      an average speed of 15 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an average speed of 10 m/s. At what time the two trains will meet each other if the distance between Lucknow and Dehradun is 450 Km.
      A 5:35 pm Correct Answer Incorrect Answer
      B 4:25 pm Correct Answer Incorrect Answer
      C 5:05 pm Correct Answer Incorrect Answer
      D 2:45 pm Correct Answer Incorrect Answer
      E 6:05 pm Correct Answer Incorrect Answer

      Solution

      Speed of train P = 15 × 18/5 = 54 Km/h Speed of train Q = 10 × 18/5 = 36 Km/h Distance travelled by train P till 1:35 pm = 54 × 5/3 = 90 Km Relative speed of trains = 54 + 36 = 90 Km/h Remaining distance to be travelled after 1:35 pm = 450 – 90 = 360 Km Time taken to cover 360 Km = 360/90 = 4 hours So the two trains will meet each other at 1:35 + 4 = 5:35 pm

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