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    A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?
    Question

    A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?

    A.

    217/12 days

    B.

    515/32 days

    C.

    215/12 days

    D.

    517/32 days

    Correct option is A

    Given:
    A is 40% more efficient than B.
    A alone can complete the job in 31 days.
    Formula Used:
    Work Efficiency: Efficiency is inversely proportional to time.
    Combined Efficiency of A and B when working together = Efficiency of A + Efficiency of B.
    Time taken by A and B together to complete the work =Total WorkCombined Efficiency. \frac{\text{Total Work}}{\text{Combined Efficiency}}.  
    Solution: 
    A's efficiency is 40% more than B.
    A’s efficiencyB’s effiecincy\frac{\text{A's efficiency}}{\text{B's effiecincy}}​ = 140100=75\frac{140}{100} = \frac{7}{5}​   





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