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    • Question

      Two runners, ‘M’ and ‘N’, started from opposite

      ends of a track towards each other at the same time. When they met after 3 hours, runner ‘N’ had travelled 27 km more than runner ‘M’. Find the distance travelled by runner ‘M’ in 2 hours if the total length of the track is 207 km.
      A 55 km Correct Answer Incorrect Answer
      B 60 km Correct Answer Incorrect Answer
      C 65 km Correct Answer Incorrect Answer
      D 70 km Correct Answer Incorrect Answer
      E 75 km Correct Answer Incorrect Answer

      Solution

      Let distance travelled by runner ‘M’ at the time of meet = ‘x’ km
      So, distance travelled by runner ‘N’ at the time of meet = ‘x + 27’ km
      According to question:
      x + x + 27 = 207
      Or, 2x = 180
      Or, x = 90
      Distance travelled by runner ‘M’ in 3 hours = 90 km
      Speed of runner ‘M’ = 90 / 3 = 30 km/h
      Distance travelled by runner ‘M’ in 2 hours = 30 × 2 = 60 km

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