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      Question

      Two individuals, 'A' and 'B', set off towards each other

      from points 'P' and 'Q', respectively. 'A' moves at a speed of (x + 8) km/hr, while 'B' travels at (x - 2) km/hr. When they meet, the ratio of the distances covered by 'A' and 'B' is 12:7. Determine the value of 'x'.
      A 22 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer
      E 14 Correct Answer Incorrect Answer

      Solution

      Since, the time taken by them will be equal. Therefore, ratio of the speeds will be same as that of the distance travelled

      According to the question,

      (x + 8)/(x – 2) = 12/7

      Or, 7x + 56 = 12x – 24

      Or, 5x = 80

      Or, x = 80/5 = 16

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