Correct Answer - Option 4 : 16 days
Given:
A can do a job = 24 days
B's efficiency = 50% more than A
Concept used:
The efficiency of work done is always inversely proportional to the time taken to do the work
Formula used:
Time is taken = Total work/Efficiency
Calculations:
Let the efficiency of A = 100%
Then, the efficiency of B = 100% + 50%
⇒ 150%
The ratio of efficiencies of A and B = 100% ∶ 150%
⇒ 2 ∶ 3
The ratio of number of days taken to complete work by A and B = 3 ∶ 2
Number of days taken to complete by B = (24/3) × 2
⇒ 16 days
∴ B alone can finish the job in 16 days