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      Question

      Tina has to reach the railway station. If she walks at 12

      km/h, she is 2 hours late. If she walks at 20 km/h, she reaches 1 hour early. Find the distance between her house and the station.
      A 100 km Correct Answer Incorrect Answer
      B 235 km Correct Answer Incorrect Answer
      C 90 km Correct Answer Incorrect Answer
      D 155 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance = 'd' km

      Let the usual time = 't' hours

      Then, (d/12) = t + 2

      Or, t = (d/12) - 2

      And, (d/20) = t - 1

      Or, t = (d/20) + 1

      So, (d/12) - (d/20) = 3

      LCM of 12 and 20 = 60

      Or, (5d - 3d)/60 = 3

      Or, 2d = 180

      So, d = 90

      Therefore, the distance = 90 km

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