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      Question

      Priya needs to travel from town 'X' to town 'Y'. If she drives at a steady speed of 60 km/h, she arrives 36 minutes early. However, if she drives at 40 km/h, she arrives 45 minutes late. What is the distance between town 'X' and town 'Y'?

      A 162 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 200 Correct Answer Incorrect Answer
      D 185 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance between towns 'X' and 'Y' be 'd' km

      Let the correct time to travel be 't' hours

      According to the question,

      (d/40) = t + (45/60) = t + 0.75

      And, (d/60) = t - (36/60) = t - 0.6

      Or, (d/40) - (d/60) = t + 0.75 - (t - 0.6)

      Or, (3d - 2d) ÷ 120 = 1.35

      Or, d/120 = 1.35

      Or, d = 1.35 × 120 = 162

      Therefore, the distance between town 'X' and 'Y' is 162 km.

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