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    Question

    50% of the work done by Meena in 2 days is equal to 25% of

    the work done by Lata in 5 days. If Meena can complete the job alone in 10 days, then how long will Lata take to complete the same task?
    A 45 days Correct Answer Incorrect Answer
    B 40 days Correct Answer Incorrect Answer
    C 25 days Correct Answer Incorrect Answer
    D 28 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of Meena and Lata be 'x' units/day and 'y' units/day respectively.

    So, 0.5 × x × 2 = 0.25 × y × 5

    So, x = (5/2) × y

    Total work = 10 × x = 10x units

    Time taken by Lata to complete the work:

    = (10x / y) = {10 × (5/2) y} ÷ y = 25 days

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