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      Question

      A cyclist starts from village 'M' at 8:00 AM towards

      village 'N' at 20 km/h. A biker starts from 'M' at 9:30 AM in the same direction at 60 km/h. Find the time when the biker catches the cyclist.
      A 2:45 PM Correct Answer Incorrect Answer
      B 10:15 AM Correct Answer Incorrect Answer
      C 7:20 PM Correct Answer Incorrect Answer
      D 6:00 AM Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Distance between cyclist and biker when biker starts = 20 × 1.5 = 30 km

      Relative speed = 60 − 20 = 40 km/h

      Time taken by biker to catch up = 30 / 40 = 0.75 hours = 45 minutes

      Required time = 9:30 AM + 45 minutes = 10:15 AM

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