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    Question

    On travelling with 30% less speed than his actual speed,

    Arjun reached the destination 2 hours late. Find the approximate time taken by him to reach his destination while travelling with his actual speed.
    A 5 hours Correct Answer Incorrect Answer
    B 10 hours Correct Answer Incorrect Answer
    C 18 hours Correct Answer Incorrect Answer
    D 22 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the actual speed of Arjun be тАШsтАЩ km/hr. And, actual time taken by him to reach his destination is тАШtтАЩ hours. So, total distance covered by Arjun in тАШtтАЩ hours = {s ├Ч t} km --------- (1) Also, Distance covered by Arjun while travelling at 30% less speed = 70% of s ├Ч (t + 2) = 0.7 ├Ч s ├Ч (t + 2) km --------- (2) From equation (1) and (2), we have s ├Ч t = (7/10) ├Ч s ├Ч (t + 2) Or, 10st = 7st + 14s Or, 3st = 14s So, t = 14/3 = 4.67 hours So, required time = 4.67 hours ~ 5 hours

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