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      Question

      A boy goes to his school at 1/3rd of the speed at which

      he returns from his school. Average speed during the whole trip (i.e. one round) is 24 km/h. What is the speed of the boy while he was going to his school?
      A 14 km/hr Correct Answer Incorrect Answer
      B 16 km/hr Correct Answer Incorrect Answer
      C 10 km/hr Correct Answer Incorrect Answer
      D 12 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Speed while going to school = x/3 Speed while returning = x Average speed = (2 × S1 × S2)/(S1 + S2) => 24 = (2 × x/3 × x)/(x/3 + x) => x = 48 Speed while going to school = 48/3 = 16 km/hr

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