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      Question

      ‘P’ typically travels from city 'X' to city

      'Y' at a speed of 24 km/h. However, on one particular day, he covered 40% of the total distance at a speed that was 125% of his usual speed and the remaining 60% at 75% of his usual speed. As a result, his total travel time increased by 1.5 hours compared to the usual time. Determine the total distance between city 'X' and city 'Y'.
      A 200 km Correct Answer Incorrect Answer
      B 300 km Correct Answer Incorrect Answer
      C 380 km Correct Answer Incorrect Answer
      D 255 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let the distance between city 'X' and 'Y' be = '10d' km

      According to the question,

      {(10d X 0.40) ÷ (1.25 X 24)} + {(10d X 0.60) ÷ (0.75 X 24)} - (10d ÷ 24) = 1.5

      Or, (4d/30) + (6d/18) - (10d/24) = 1.5

      Or, (0.8d + 2d - 2.5d) ÷ 6 = 1.5

      Or, 0.3d = 9

      So, d = 9 ÷ 0.3 = 30

      So, total distance travelled by 'P' = 10 X 30 = 300 km

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