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      Question

      Aman rides from place P to Q. At 18 km/h, he is 3.5 hours

      late. At 30 km/h, he is 1.5 hours early. Find the distance between P and Q.
      A 125 km Correct Answer Incorrect Answer
      B 235 km Correct Answer Incorrect Answer
      C 225 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/18) = t + 3.5

      Or, t = (d/18) - 3.5

      And, (d/30) = t - 1.5

      Or, t = (d/30) + 1.5

      So, (d/18) - 3.5 = (d/30) + 1.5

      Or, (d/18) - (d/30) = 5

      LCM of 18 and 30 = 90

      Or, (5d - 3d)/90 = 5

      Or, 2d = 450

      So, d = 225

      Therefore, the distance = 225 km

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