Q. A and B complete a work in 16 days, B and C in 24 days, and C and A in 12 days. Who is the fastest worker?
β
Correct Answer: (A)
A
Explanation: Total work = LCM of 16, 24, 12 = 48. Work done/day: A+B = 3, B+C = 2, C+A = 4. Adding all (2A+2B+2C = 9) → A+B+C = 4.5. So A = 4.5 - (B+C = 2) = 2.5 units/day (highest).
Explanation by: Yami Thakur
Total work = LCM of 16, 24, 12 = 48. Work done/day: A+B = 3, B+C = 2, C+A = 4. Adding all (2A+2B+2C = 9) → A+B+C = 4.5. So A = 4.5 - (B+C = 2) = 2.5 units/day (highest).