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.

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:
​$$\text{Efficiency of Daniel} = E + 0.60E = 1.60E$$​​
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 = $$\frac{\text{Time taken by Virat}}{1.60}$$​​
Substituting the value of the time taken by Virat:
​$$\text{Time taken by Daniel} = \frac{30}{1.60}$$  = $$18\frac{3}{4}$$ days ​