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      Question

      Distance between two stations is 1120 km. Train ‘A’

      takes 6 hours more than train ‘B’ to cover this distance. If speed of train ‘B’ is 60 km/h more than speed of train ‘A’, then find the time taken by train ‘B’ to cover the distance.
      A 5 hrs Correct Answer Incorrect Answer
      B 8 hrs Correct Answer Incorrect Answer
      C 10 hrs Correct Answer Incorrect Answer
      D 12 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let speed of train ‘A’ is ‘x’ km/h So, speed of train ‘B’ = ‘x + 60’ km/h Let time taken by train ‘A’ to cover the whole distance is ‘t + 6’ hours So, time taken by train ‘B’ to cover the whole distance = ‘t’ hours So, x(t + 6) = (x + 60) × t Or, 6x = 60t Or, x = 10t And, x(t + 6) = 1120 Or, 10t(t + 6) = 1120 Or, t² + 6t − 112 = 0 Or, t² + 14t − 8t − 112 = 0 Or, t(t + 14) − 8(t + 14) = 0 Or, (t + 14)(t − 8) = 0 Or, t = 8 So, time taken by train ‘B’ = 8 hours

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