AFCAT I 23 Jan 2025 Shift 1 Paper

Work done = time × efficiency
Calculation:
Total work =LCM of (X,Y and Z )
Total work = LCM of (50,100 and 36) = 900 units
Now,
Efficiency of X =900∕50=18 units
Efficiency of Y=900∕100=9 units
Efficiency of Z=900∕36=25 units
Now,
Time taken by X=50 days
Time taken by Y=100 days
Time taken by Z=36 days
Time taken by (X+Z)=900∕(18+25)=20.93 days
When ( X and Z ) work together, they will complete the work first.