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      Question

      If 'P' reduces his speed by 40% of his original speed,

      he arrives at his destination 3 hours later than usual. How much time would he take to reach his destination if he traveled at his original speed?
      A 6.5 hours Correct Answer Incorrect Answer
      B 7.5 hours Correct Answer Incorrect Answer
      C 4.5 hours Correct Answer Incorrect Answer
      D 2.5 hours Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the actual speed of Rahul be тАШsтАЩ km/hr. And, actual time taken by him to reach his destination is тАШtтАЩ hours. So, total distance covered by Rahul in тАШtтАЩ hours = {s ├Ч t} km---------- (1) Also, Distance covered by Rahul while travelling at 40% less speed = 60% of s ├Ч (t + 3) = 0.6 ├Ч s ├Ч (t + 3) km ----------- (2) From equation (1) and (2), we have s ├Ч t = (3/5) ├Ч s ├Ч (t + 3) Or, 5st = 3st + 9s Or, 2st = 9s So, t = 4.5 So, required time = 4.5 hours

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