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    A worker completes 3/5 of a work in 12 days. In how many days will he complete 3/4 of the work?
    Question

    A worker completes 3/5 of a work in 12 days. In how many days will he complete 3/4 of the work?

    A.

    18

    B.

    20

    C.

    16

    D.

    15

    Correct option is D

    Given:

    ​A worker completes 35\frac{3}{5}​ of the work in 12 days.

    Formula Used:
    Time taken=(Fraction of work to be doneFraction of work already done)×Time taken to complete the already done work\text{Time taken} = \left(\frac{\text{Fraction of work to be done}}{\text{Fraction of work already done}}\right) \times \text{Time taken to complete the already done work}​​
    Solution:
    Work rate of the worker,
    Work rate==3/512=360=120 of the work per day\text{Work rate} = = \frac{3/5}{12} = \frac{3}{60} = \frac{1}{20} \text{ of the work per day}​​
    Now, time taken to complete 34 \frac{3}{4}​​ of the work:
    Time taken=34120=34×20=15 days\text{Time taken} = \frac{\frac{3}{4}}{\frac{1}{20}} = \frac{3}{4} \times 20 = 15 \text{ days} 

    Alternate Method:

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