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    Virat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete the same work. Find the total time taken by Daniel to com
    Question

    Virat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete the same work. Find the total time taken by Daniel to complete the work.

    A.

    days

    B.

    days

    C.

    days

    D.

    days

    Correct option is B

    Given:

    Virat can complete a work in 30 days. Daniel is 60% more efficient than Virat to complete the same work.

    Solution:

    Let the efficiency of Virat be denoted by E. The time taken by Virat to complete the work is 30 days.
    Since Daniel is 60% more efficient than Virat, Daniel's efficiency is given by:
    Efficiency of Daniel=E+0.60E=1.60E\text{Efficiency of Daniel} = E + 0.60E = 1.60E​​
    The time taken to complete a work is inversely proportional to efficiency. Therefore, the time taken by Daniel to complete the work can be calculated as:
    Time taken by Daniel = Time taken by Virat1.60\frac{\text{Time taken by Virat}}{1.60}​​
    Substituting the value of the time taken by Virat:
    Time taken by Daniel=301.60\text{Time taken by Daniel} = \frac{30}{1.60}  = 183418\frac{3}{4} days ​

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