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      Question

      Ravi travels from town X to town Y. At 20 km/h he reaches 4

      hours late, but at 50 km/h, he reaches 2 hours early. Find the distance between town X and town Y.
      A 125 km Correct Answer Incorrect Answer
      B 235 km Correct Answer Incorrect Answer
      C 200 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/20) = t + 4

      Or, t = (d/20) - 4

      And, (d/50) = t - 2

      Or, t = (d/50) + 2

      So, (d/20) - 4 = (d/50) + 2

      Or, (d/20) - (d/50) = 6

      LCM of 20 and 50 = 100

      Or, (5d - 2d)/100 = 6

      Or, 3d = 600

      So, d = 200

      Therefore, the distance = 200 km

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