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      Question

      Two individuals, P and R, travel from point L to point K

      at different speeds. P takes 11 hours to complete the journey, while R takes 13 hours. The difference in their speeds is 7 km/h, with one traveling faster than the other. Determine the distance between points L and K.
      A 225 km Correct Answer Incorrect Answer
      B 255 km Correct Answer Incorrect Answer
      C 292 km Correct Answer Incorrect Answer
      D 290 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let distance = D km P's speed = D/11 R's speed = D/13 |D/11 - D/13| = 7 (13D - 11D) / 143 = 7 2D / 143 = 7 2D = 1001 D = 500.5 Distance = 500.5 km

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