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      Question

      Two individuals, A and B, are walking. Person A takes 1

      hour longer than person B to cover a distance of 84 km. However, if person A doubles their speed, they take 2 hours and 30 minutes less than person B to cover the same distance. Find the original speed of person B (in km/h).
      A 14 km/h Correct Answer Incorrect Answer
      B 12 km/h Correct Answer Incorrect Answer
      C 16 km/h Correct Answer Incorrect Answer
      D 18 km/h Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let speed of A and B be ‘x’ km/h and ‘y’ km/h respectively.
      According to question;
      84/x – 84/y = 1…………………..(1)
      And, 84/y – 84/2x = 5/2…………………(2)
      From equation (1) and (2) we get
      84/x – 1 – 84/2x = 5/2
      42/x = 5/2 + 1 = 7/2
      x = 12
      So, y = 14 km/h

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