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      Question

      A cyclist travels

      data-end="1559">30% of the total route at the speed of 8 km/hr in β€˜x’ hours . If the entire route was covered at an average speed of 10 km/hr , the time taken would have been (x + 4) hours . What is the value of β€˜x’?
      A 1.5 hrs Correct Answer Incorrect Answer
      B 2.4 hrs Correct Answer Incorrect Answer
      C 5.5 hrs Correct Answer Incorrect Answer
      D 9.5 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      (8 Γ— x)/0.3 = 10(x + 4) 8x = (10x + 40) Γ— 0.3 8x = 3x + 12 5x = 12, x = 12 / 5 = 2.4 So, the value of β€˜x’ is 2.4 hours.

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