Correct Answer - Option 3 : 27 days
Given:
Efficiency of A = 2 × Efficiency of B
They together can complete the whole work in 18 days
Concept Used:
Work = Efficiency × Time
Calculation:
We have
Efficiency of A : Efficiency of B = 2 : 1
Efficiency of (A + B) = 3
Total Work = 3 × 18 = 54 units
A alone can do this work in 54/2 days [Total work/efficiency of A]
⇒ 27 days.
∴ The time taken by A to complete the work is 27 days.