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    Question

    ‘P’ alone can complete a work in 25 days while

    ‘P’ and ‘Q’ together can complete the whole work in 15 days. Find the time taken by ‘Q’ alone to complete the whole work.
    A 20 days Correct Answer Incorrect Answer
    B 37.5 days Correct Answer Incorrect Answer
    C 35 days Correct Answer Incorrect Answer
    D 45 days Correct Answer Incorrect Answer

    Solution

    Let total work = 150 units (LCM of 25 and 15)
    Amount of work completed by ‘P’ alone in one day = 150/25 = 6 units
    Amount of work completed by ‘P’ and ‘Q’ together in one day = 150/15 = 10 units
    Amount of work completed by ‘Q’ alone in one day = 10 − 6 = 4 units
    Desired time taken by ‘Q’ alone to complete the work = 150/4 = 37.5 days

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