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      Question

      Priya travels a certain distance in 3 hours. Then she

      increases her speed by 6 km/hr and travels for 7 hours. If the distance covered with increased speed is 90 km more than the distance covered with the original speed, find the total distance covered by Priya.
      A 500 km Correct Answer Incorrect Answer
      B 240 km Correct Answer Incorrect Answer
      C 140 km Correct Answer Incorrect Answer
      D 162 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the initial speed of Priya be β€˜x’ km/hr

      According to the question,

      (x + 6) Γ— 7 – 3x = 90

      Or, 7x + 42 – 3x = 90

      Or, 4x = 48

      Or, x = 12 km/hr

      Therefore, total distance covered by Priya = 7(x + 6) + 3x = 7Γ—18 + 36 = 162 km

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