A is thrice as efficient as B, A takes 16 days less than B to complete a work. If they work together, in how many days, will the work be completed?
Answer & explanation
Correct answer: option 4
Time taken ∝ \(\frac{1}{efficiency}\)
A : B
ratio of efficiency 3 : 1
time taken 1 : 3 ⇒ difference 2R = 16
R = 8
say, total work = 24
Efficiency of A & B together = 4
Time taken by A and B = \(\frac{Total\; work}{Efficiency}\)
= \(\frac{24}{4}\) = 6 days