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      Question

      On travelling with 25% less speed than his actual speed,

      Vikram reached the destination 3.5 hours late. Find the time taken by him to reach his destination while travelling with his actual speed.
      A 15.8 hours Correct Answer Incorrect Answer
      B 12.7 hours Correct Answer Incorrect Answer
      C 10.5 hours Correct Answer Incorrect Answer
      D 12.5 hours Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the actual speed of Vikram be ‘s’ km/hr. And, actual time taken by him to reach his destination is ‘t’ hours. So, total distance covered by Vikram in ‘t’ hours = {s × t} km --------- (1) Also, Distance covered by Vikram while travelling at 25% less speed = 75% of s × (t + 3.5) = 0.75 × s × (t + 3.5) km --------- (2) From equation (1) and (2), we have s × t = (3/4) × s × (t + 3.5) Or, 4st = 3st + 10.5s Or, st = 10.5s So, t = 10.5 So, required time = 10.5 hours

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