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    Question

    Priya completes 30% of a task in 9 days. Her efficiency is

    50% greater than Meera's. How many days will it take for both Priya and Meera, working together, to finish the entire task?
    A 18 days Correct Answer Incorrect Answer
    B 15 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer

    Solution

    ATQ,
    Priya alone can complete the full task in (9/0.3) = 30 days.
    Efficiency of Priya = 1.5× efficiency of Meera.
    So, Meera alone can complete the work in (30×1.5) = 45 days.
    Let the total work be 90 units
    (LCM of 30 and 45)
    (LCM of 30 and 45).
    Efficiency of Priya = 90/30 = 3 units/day
    Efficiency of Meera = 90/45 = 2 units/day
    Together, their efficiency = (3+2) = 5 units/day.
    Total time required = 90/5 = 18 days.

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