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      Question

      Two cyclists start from villages R and S which are 234

      km apart. One starts from R at 6:45 a.m. at 36 km/h. Another from S at 7:45 a.m. at 54 km/h towards R. When will they meet?
      A 9:45 a.m. Correct Answer Incorrect Answer
      B 9:50 a.m. Correct Answer Incorrect Answer
      C 9:57 a.m. Correct Answer Incorrect Answer
      D 10:00 a.m. Correct Answer Incorrect Answer

      Solution

      Time gap = 1 hour → Distance = 36 × 1 = 36 km
      Remaining = 234 – 36 = 198 km
      Relative speed = 90 km/h
      Time = 198 / 90 = 2.2 hrs = 2h 12m
      Meeting time = 7:45 a.m. + 2h 12m = 9:57 a.m.

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