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    A and B can complete a piece of work in 56 and 70 days respectively. They began the work together but A left after some days and B finished the remain
    Question

    A and B can complete a piece of work in 56 and 70 days respectively. They began the work together but A left after some days and B finished the remaining work in 34 days. After how many days did A leave?

    A.

    16

    B.

    9

    C.

    12

    D.

    15

    Correct option is A

    Given:

    A can finish the work = 56 

    B can finish the work = 70 

    Solution:  

    Total work = LCM of 56 and 70 

    = 280 

    Then the efficiency  of A = 280/56= 5 unit/day 

    Efficiency of B = 280/70 = 4 unit\day 

    34 work days work which is done by B = 34×\times4 = 136

    Remaining work = 280 - 136 = 144 

    They do this (144 unit) work together = 144/9 = 16 

    After 16 days A left the work.


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