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    Anjali can complete a job in 10 days. Banu can do it in 5 days. In how many days can the job be done, if they work together?
    Question

    Anjali can complete a job in 10 days. Banu can do it in 5 days. In how many days can the job be done, if they work together?

    A.

    3.5 days

    B.

    7.5 days

    C.

    6 days

    D.

    3 days 8 hours

    Correct option is D

    Given:

    Anjali can complete a job in 10 days.
    Banu can do it in 5 days.
    Formula Used:

    Work = Time ×\times ​ Efficiency

    Solution:
    Total work = LCM of (10, 5) = 10 unit
    Efficiency of Anjali = 10/10 = 1 unit/day
    Efficiency of Banu = 10/5 = 2 unit/day
    The work will complete when they done work together

    =10(1+2)=313 days=3 days+24×13 hours=3 days 8 hours= \frac{10}{(1+2)} = 3 \frac{1}{3} \text{ days} \\= 3 \text{ days} + 24 \times \frac{1}{3} \text{ hours} \\= 3 \text{ days } 8 \text{ hours}​​

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