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      Question

      Bike X travels 180 km in t hours and bike Y travels 90

      km in (t/2) hours. If bike X covers 150 km in 2.5 hours, then how many kilometres will bike Y travel in 2t hours?
      A 420 km Correct Answer Incorrect Answer
      B 360 km Correct Answer Incorrect Answer
      C 550 km Correct Answer Incorrect Answer
      D 600 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Speed of bike X = 150 / 2.5 = 60 km/hr. So, t = 180 / 60 = 3 hours. Speed of bike Y = 90 / (t/2) = 90 / (3/2) = 90 × (2/3) = 60 km/hr. Required distance in 2t hours = 60 × 2t = 60 × 2 × 3 = 60 × 6 = 360 km.

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