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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 тАШsтАЩ km/hr. And, actual time taken by him to reach his destination is тАШtтАЩ hours. So, total distance covered by Vikram in тАШtтАЩ hours = {s ├Ч t} km --------- (1) Also, Distance covered by Vikram while travelling at 25% less speed = 75% of s ├Ч (t + 3.5) = 0.75 ├Ч s ├Ч (t + 3.5) km --------- (2) From equation (1) and (2), we have s ├Ч t = (3/4) ├Ч s ├Ч (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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