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?
Answer & explanation
Correct answer: option 3
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)