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      Question

      The distance between two stations is 1520 km. Train A

      takes 9 hours longer than Train B to cover this distance. If Train B travels 72 km/h faster than Train A, how much time does Train B take to cover the entire distance?
      A 10 hrs Correct Answer Incorrect Answer
      B 21 hrs Correct Answer Incorrect Answer
      C 18 hrs Correct Answer Incorrect Answer
      D 16 hrs Correct Answer Incorrect Answer

      Solution

      Let speed of train ‘A’ is ‘x’ km/h

      So, Speed of train ‘B’ = ‘x + 72’ km/h

      Let time taken by train ‘A’ to cover the whole distance is ‘t + 9’ hours

      So, time taken by train ‘B’ to cover the whole distance = ‘t’ hours

      So, x(t + 9) = (x + 72) × t

      Or, x = 8t

      And, x(t + 9) = 1520

      Or, 8t(t + 9) = 1520

      Or, t 2  + 9t – 190 = 0

      Or, (t + 19)(t – 10) = 0

      Or, t = 10

      So, time taken by train ‘B’ to cover the whole distance = 10 hours

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