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    Question

    Sneha and Meena can complete a project in 24 days and 60

    days respectively. Sneha began working first. After how many days should Meena step in so that the project is completed in 20 days?
    A 6 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 120 units (LCM of 24 and 60)

    Efficiency of Sneha = (120 / 24) = 5 units/day

    Efficiency of Meena = (120 / 60) = 2 units/day

    Let Meena join after 'n' days.

    So, 5n + (5 + 2) × (20 - n) = 120

    ⇒ 5n + 140 - 7n = 120

    ⇒ 2n = 20

    ⇒ n = 10

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