Correct Answer - Option 3 : 112 days
Given:
A and B can complete the work 75% of work in 36 days
Concept:
Work = 1/Efficiency
Calculation:
⇒ Let us assume the efficiency of A and B is 3x and 4x respectively.
⇒ A and B together can complete the work = 36 × (4/3) = 48 days
⇒ Total work = 48 × (3x + 4x) = 336x
⇒ A alone can complete the work in = 336x/3x = 112 days
∴ The required result will be 112 days.