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    A work is done in 16 days by 8 labours. They worked together for 2 days and after that 8 additional labours joined them. The rest work will be finishe
    Question

    A work is done in 16 days by 8 labours. They worked together for 2 days and after that 8 additional labours joined them. The rest work will be finished by them in

    A.

    8 days

    B.

    10 days

    C.

    9 days

    D.

    7 days

    Correct option is D

    Given:
    Initial number of labours = 8
    Total time to complete the work by 8 labours = 16 days
    They worked for 2 days
    Additional labours joined = 8

    Total labours after 2 days = 8 + 8 = 16

    Formula Used:
    Work done = Number of labours × Number of days

    Solution:

    Total work = 8 labours × 16 days = 128

    Work done in first 2 days by 8 labours = 8 × 2 = 16 

    Remaining work = 128 − 16 = 112

    Now, 16 labours are working.

    Time required = 11216\frac{112}{16}​ = 7 days
    So, the remaining work will be finished in 7 days.

    Thus, the correct answer is (d).

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