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      Question

      A cyclist rides at a constant speed of 12 miles per hour

      for the first half of a journey. For the second half, the cyclist increases the speed to 18 miles per hour. What is the average speed for the entire journey?
      A 10.4 miles/hour Correct Answer Incorrect Answer
      B 14.4 miles/hour Correct Answer Incorrect Answer
      C 18.4 miles/hour Correct Answer Incorrect Answer
      D 24.4 miles/hour Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total distance be 2x miles. Time taken for the first half = x/12 hours Time taken for the second half = x/18 hours Total time = x/12 + x/18 = 5x/36 hours Average speed = (2x) / (5x/36) = 72/5 = 14.4 miles per hour

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