Question

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

• A. 4 days
• B. 6 days
• C. 16 days
• D. 12 days
• E. 8 days

Answer 1

The correct option is E

8 days

Let A and C can complete the work in ‘x’ days.

Twice of work done by A, B and C = Work done by A & B +

Work done by B & C + Work done by A & C

$\therefore 2\frac{1}{6}=\frac{1}{8}+\frac{1}{12}+\frac{1}{x}$

⇒ x = 8 days