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    Question

    A woman walks to the market at (4/6) of her normal speed

    and reaches 30 minutes late. Find her usual time to reach the market.
    A 25 mins Correct Answer Incorrect Answer
    B 60 mins Correct Answer Incorrect Answer
    C 44 mins Correct Answer Incorrect Answer
    D 75 mins Correct Answer Incorrect Answer

    Solution

    (Simplify (4/6) to (2/3) first. We’ll use 2/3.)

    ATQ, When distance is constant, Time ∝ (1 / Speed) So, the ratio of usual time to new time = 2 : 3 Let the usual time = 2t minutes and the new time = 3t minutes. 3t – 2t = 30 ⇒ t = 30 Usual time = 2t = 2 × 30 = 60 minutes

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