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      Question

      Two cyclists ‘X’ and ‘Y’ start from towns ‘M’

      and ‘N’ respectively towards each other at the same time. When they meet after 6 hours, cyclist ‘Y’ has covered 90 km more than ‘X’. If the total distance between the towns is 450 km, what distance was covered by ‘X’ in 4 hours?
      A 190 km Correct Answer Incorrect Answer
      B 160 km Correct Answer Incorrect Answer
      C 140 km Correct Answer Incorrect Answer
      D 120 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let distance travelled by cyclist ‘X’ at the time of meet = x km

      So, distance travelled by cyclist ‘Y’ at the time of meet = x + 90 km

      According to question;

      x + x + 90 = 450

      Or, 2x = 360

      Or, x = 180

      Distance travelled by cyclist ‘X’ in 6 hours = 180 km

      Speed of cyclist ‘X’ = 180 / 6 = 30 km/h

      Distance travelled by cyclist ‘X’ in 4 hours = 30 × 4 = 120 km

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