Correct Answer - Option 1 : 8 days
Given:
Time taken by A to complete the work = 12 days
Time taken by B to compete the work = 24 days
Formula used:
Efficiency = Total work/Time taken
Calculation:
LCM of 12 and 24 = 24 = Total work
Efficiency of A = 24/12 units/day
⇒ 2 units/day
Efficiency of B = 24/24 unit/day
⇒ 1 unit/day
Total efficiency of A and B = (2 + 1) units/day
⇒ 3 units/day
Required time = 24/3 days
⇒ 8 days
∴ The time taken by both A and B together to complete the work is 8 days