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    Question

    180 unit of work can be completed by P alone in 30 days.

    P started working alone and joined by Q after 18 days such that they completed the remaining work in 6 days. Find the number of days taken by Q to complete the whole work alone.
    A 30 days Correct Answer Incorrect Answer
    B 46 days Correct Answer Incorrect Answer
    C 13.5 days Correct Answer Incorrect Answer
    D 14 days Correct Answer Incorrect Answer
    E 12 days Correct Answer Incorrect Answer

    Solution

    Let the efficiency of Q = x units/day Efficiency of P = (180/30) = 6 units/day According to question: 6 × 18 + (6 + x) × 6 = 180 Or, 108 + 36 + 6x = 180 Or, 6x = 180 – 144 Or, 6x = 36 Or, x = 6 Number of days taken by Q to complete the work alone = (180/6) = 30 days

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