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      Question

      The Speed of two cyclists follow a ratio of 9:5. If the

      slower cyclist covers a distance of 480 km in 6.4 hours, determine the time it takes for the faster cyclist to travel 540 km.
      A 5 hrs Correct Answer Incorrect Answer
      B 10 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 4 hrs Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the speed of faster cyclist and slower cyclist be 9p km/hr and 5p km/hr, respectively Also, speed of slower cyclist = (480/6.4) = 75 km/hr Therefore, speed of faster cyclist = 75 × (9/5) = 135 km/hr Required time taken = (540/135) = 4 hours

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