Correct Answer - Option 1 : 8 days
Given:
A's 2 days work is equal to B's 3 days work.
Calculation:
A's 2 days work = B's 3 days work
We know that,
Efficiency is inversely proportional to the Time taken when the amount of work done is constant
A/B = 3/2
⇒ A one-day work efficiency = 3 unit/day
⇒ B one-day work efficiency = 2 unit/day
According to the question,
If B can complete the work in 12 days
∴ Total work done = 12 × 2= 24 units
A completed the work = Total work done/A one-day work efficiency
⇒ A completed the work = 24/3 = 8 days
∴ A completed the work in 8 days.