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      Question

      Raj travels a certain distance at

      a certain speed in a certain time. However, if he had decreased his speed by 12 km/h, he would have taken 3 hours more. And, if he had further decreased his speed by 12 km/h, he would have been late by another 4 hours. Find the total distance traveled by him.
      A 3250 km Correct Answer Incorrect Answer
      B 2200 km Correct Answer Incorrect Answer
      C 2016 km Correct Answer Incorrect Answer
      D 1582 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the distance be ‘d’ km So, And, From (i) and (ii),

      Let original speed be S km/h

      [(S–12)×3]/12 = [(S–24)×7]/24 6(S–12) = 7(S–24) 6S–72 = 7S–168 S = 96 km/h Required distance = 96×(96–12)/12×3 = 96×7×3 = 2016 km

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