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    Question

    A person covers a certain distance at a certain speed.

    If he increases his speed by 40%, then he takes 15 minutes less to cover the same distance. Find the time taken by him to cover the distance when traveling at his original speed
    A 1 hour 05 minutes Correct Answer Incorrect Answer
    B 52.5 minutes Correct Answer Incorrect Answer
    C 1hour 12 minutes Correct Answer Incorrect Answer
    D 1 hour 10 minutes Correct Answer Incorrect Answer

    Solution

    Let the distance, original speed, and original time is taken be D km, S kmph, T hours, respectively.   Hence,   D = S × T D = (S × 1.4) × (T - 1/4) Thus, we can conclude, S × T = (S × 1.4) × (T - 1/4)   0.4T = 0.35   T = 0.875hours =52.5 minutes

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