A and B can together complete a piece of work in 18 days, B and C can together complete the same work in 24 days and A and C can together complete it in 36 days. In how many days can A, B and C, working together, complete this piece of work?
Answer & explanation
Correct answer: option 2
A + B = 18 days,
B + C = 24 days,
A + C = 36 days,
⇒ Adding all the efficiencies = 2(A + B + C) = 9
⇒ A + B + C = \(\frac{9}{2}\)
Time required by A + B + C to complete the total work = \(\frac{72 × 2}{9}\) = 16 days. ..(\(\frac{Work}{Efficiency}\) = Time)