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    A and B complete a work in 6 days. If A alone can do it in 7 days, then B alone can do it in ______________ days.
    Question

    A and B complete a work in 6 days. If A alone can do it in 7 days, then B alone can do it in ______________ days.

    A.

    44

    B.

    42

    C.

    43

    D.

    41

    Correct option is B

    Given:

    A and B together can complete the work in 6 days.
    A alone can complete the work in 7 days. 

    Solution: 

    Total work = LCM of 6 and 7 = 42 

    Efficiency of A and B = 426\frac{42}{6}   = 7 unit/day 

    Efficiency of A = 427\frac{42}{7}  = 6 unit/day  

    Efficiency of B = 7 - 6 = 1 unit/day 

    B will complete the whole work = 421=42\frac{42}{1} = 42  days ​

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