A and B can complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C. How manydays will C take to complete the entire work alone?

120

A = 80 days,

B = 96 days,

⇒ With the help of C, A + B can complete the work in 32 days = \(\frac{480}{11+C}\) = 32 days,

⇒ 15 = 11 + C 

⇒ C = 4,  (Efficiency)

Time required by C to complete the work alone= \(\frac{480}{4}\) = 120 days,  ..(\(\frac{Work}{Efficiency}\) = Time)