Working together, A, B and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?
Answer & explanation
Correct answer: option 1
A + B + C = 3 hrs,
A = 8 hrs,
B = 6 hrs,
⇒ A + B + C = 8 (Efficiency)
⇒ 3 + 4 + C = 8,
⇒ 7 + C = 8,
⇒ C = 1,
⇒ Time required by C to complete total work = \(\frac{24}{1}\) = 24 hrs. ..(\(\frac{Work}{Efficiency}\) = Time)