Question

A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x + 8) and (x + 18) days, respectively. A and B together will complete 5/6 of the same work in:

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

Answer 1

Answer:

D. 10 days

If A and B alone can do the work in (x + 8) and (x + 18) days respectively. A and B together can do the work in = √(8 × 18) = 12 days x = 12 days 5/6 of the work done by A and B in = 12 × (5/6) = 10 days