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    If A can complete a job in 15 days and B can complete the same job in 20 days, thenhow many days (rounded up to the nearest two decimal places) will i
    Question

    If A can complete a job in 15 days and B can complete the same job in 20 days, thenhow many days (rounded up to the nearest two decimal places) will it take for both Aand B to complete the job together?

    A.

    6.99 days

    B.

    . 9.01 days

    C.

    8.57 days

    D.

    7.25 days

    Correct option is C

    ​Given:

    A can complete the job in 15 days.

    B can complete the job in 20 days.

    We need to find the number of days it will take for both A and B to complete the job together.

    Solution:

    Work rate of A = 115\frac{1}{15}​​

    Work rate of B = 120\frac{1}{20}​​

    The total work rate of A and B working together is:

    Total work rate = 115+120\frac{1}{15} + \frac{1}{20}​​

    =460+360=760 = \frac{4}{60} + \frac{3}{60} = \frac{7}{60}

    Total time taken together:

    =1760= \frac{1}{\frac{7}{60}}​​

    =6078.5714 days= \frac{60}{7} \approx 8.5714 \, \text{days}

    Alternate Solution: 

    Total Work = LCM of 15, 20 = 60

    Efficiency of A = 6015\frac{60}{15}​ = 4 units 

    Efficiency of B =6020 \frac{60}{20}​ = 3 units 

    Time taken together = 6078.57 days \frac{60}{7} \approx 8.57 \, \text{days}​​

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