Question

A, B, C can together complete the work in 12 days. If A is thrice faster than B, and B is twice faster than C, B alone can do the work in:

• A. 24 days
• B. 48 days
• C. 54 days
• D. 42 days

Answer 1

Answer:

C. 54 days

Let the efficiency of C be x, then Efficiency of A = 6x Efficiency of B = 2x Efficiency ratio of A, B and C = 6 : 2 : 1 Total work = 12 × (6 + 2 + 1) = 12 × 9 = 108 B alone can complete the whole task in = 108/2 = 54 days