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    A and B can do a piece of work in 18 and 36 days, respectively. They start working together but A leaves after 3 days. How much time will B take to co
    Question

    A and B can do a piece of work in 18 and 36 days, respectively. They start working together but A leaves after 3 days. How much time will B take to complete the remaining work?

    A.

    22 days 

    B.

    24 days 

    C.

    30 days 

    D.

    27 days 

    Correct option is D

    Total Work = LCM of 18 and 36 = 36 unit

    Efficiency of A and B are3618=2\frac{36}{18}= 2  and 3636=1\frac{36}{36}= 1  unit per day respectively.

    Work done by A and B together in 3 days = (2+1)×3=9\times3= 9 unit

    Remaining work = 36-9 = 27 unit

    Remaining work done by B in 271=27days\frac{27}{1}= 27 days​​

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