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      Question

      A person travels from point A to point B at a speed of

      60 km/h and returns to point A at a speed of 80 km/h. He spends 2 hours less on the return journey than on the onward journey. Find the distance between A and B.
      A 240 km Correct Answer Incorrect Answer
      B 480 km Correct Answer Incorrect Answer
      C 360 km Correct Answer Incorrect Answer
      D 180 km Correct Answer Incorrect Answer

      Solution

      Let the distance between A and B be D km. Time taken to travel from A to B = D/60 hours Time taken to return from B to A = D/80 hours According to the given condition, D/80 = D/60 - 2 Multiply both sides by 120 to simplify: 3D = 4D - 480 D = 480 km Answer: b) 480 km

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