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    Question

    'P' alone can do a job in 15 days. 'Q' is 60% more

    efficient than 'P'. 'P' and 'Q' started the work together, but 'P' left after 5 days. Find the time taken by 'Q' to complete the remaining work.
    A 10 days Correct Answer Incorrect Answer
    B 3.25 days Correct Answer Incorrect Answer
    C 1.25 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of 'P' be '5x' units/day

    So, efficiency of 'Q' = 5x ├Ч (1.6) = 8x units/day

    So, total work = 5x ├Ч 15 = 75x units

    Work done by 'P' and 'Q' together in 5 days = (5x + 8x) ├Ч 5 = 65x units

    So, time taken by 'Q' to finish the remaining work = (75x - 65x) ├╖ 8x = 1.25 days

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