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      Question

      Due to fog, the speed of a train was reduced to (2/3)rd of its original speed, resulting in a delay of 45 minutes. Find the usual time taken by the train to reach its destination.

      A 45 mins Correct Answer Incorrect Answer
      B 90 mins Correct Answer Incorrect Answer
      C 70 mins Correct Answer Incorrect Answer
      D 40 mins Correct Answer Incorrect Answer

      Solution

      Let the distance travelled by the train be ‘d’ km, original speed be ‘s’ km/minute and usual time be ‘t’ minutes. ATQ; [d/{(2/3) × s}] = t + 45 Or, 3d = 2s × (t + 45) ………………… (1) Also, d = s × t ………………... (2) On combining equation (1) and (2), we have; 3st = 2s(t + 45) Or, 3st = 2st + 90s Or, st = 90s Or, t = 90 So, the usual time taken by the train to reach the destination is 90 minutes

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