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    C is thrice as good a workman as D and together they can finish a work in 31 days. In how many days will D alone complete the same work?
    Question

    C is thrice as good a workman as D and together they can finish a work in 31 days. In how many days will D alone complete the same work?

    A.

    144 days

    B.

    130 days

    C.

    124 days

    D.

    136 days

    Correct option is C

    Given:
    CCC is thrice as good a workman as DDD.
    CCC and DDD together can complete the work in 31 days. 
    Formula Used: 
    Total work = Efficiency ×\times time
    Solution: 
    According to the question;
    Efficiency of CEfficiency of D=31\frac{\text{Efficiency of C}}{\text{Efficiency of D}} = \frac{3}{1}  
    Total work = 31×4=124 unit31 \times 4 = 124 \,unit 
    Time taken by D alone = 1241=124 days\frac{124}{1} = \bf 124 \, days 

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