Question

A and B can do a work in 8 days, B and C in 12 days. A, B and C together finish it in 6 days. In how many days will A and C together do it?

• A. 9 days
• B. 6 days
• C. 8 days
• D. 10 days
• E. 12 days

Hint:

This is a duplicate of QA11. In CET papers, identical questions sometimes appear within the same section; ensure your answers are consistent.

Answer 1

The Correct Option is C

Step 1: Analyse options.
- Rate $(A+B+C) = 1/6$. - Rate $(A+B) = 1/8 \Rightarrow C = 1/6 - 1/8 = 1/24$. - Rate $(B+C) = 1/12 \Rightarrow A = 1/6 - 1/12 = 1/12$. - Rate $(A+C) = 1/12 + 1/24 = 3/24 = 1/8$.
Step 2: Conclusion.
A and C together will do it in 8 days. Final Answer: (c) 8 days