Correct Answer - Option 1 : 40
Given:
A can complete his office project in 52 days
B is 30% more efficient than A.
Formula Used
Work = Time × Efficiency
Time is inversely proportional to Efficiency.
Calculation
Let the days taken by B to complete the project be x
According to the question,
The ratio of efficiency of B and A = 130 : 100
The ratio of time taken by B and A = 100 : 130 = 10 : 13
The time taken by B to complete the project = (52) × (10/13)
⇒ x = (52) × (10/13)
⇒ x = 40
∴ B will take 40 days to complete the project.