A, B and C can do a work in 16 days, while A and B can do the work in 40 days. In how many days can C do the work alone?

26.67 25 23.33 30

26.67

A + B + C = 16 days, A + B = 40 days, ⇒ A + B + C = 5,  (Efficiency) ⇒ 2 + C = 5, ⇒ C = 3, ⇒ Time required by C to complete the work alone = \(\frac{80}{3}\) = 26.67 days.     ..(\(\frac{Work}{Efficiency}\) = Time)