P alone can lay a road in 30 days, Q alone in 45 days. They work together for 9 days and then P leaves. How many more days will Q take to finish the road alone?

Question

Accepted Answer

22.5. In 9 days together: 9 × (1/30 + 1/45) = 9 × 5/90 = 1/2. Remaining 1/2 takes Q 1/2 × 45 = 22.5 days.

P alone can lay a road in 30 days, Q alone in 45 days. They work together for 9 days and then P leaves. How many more days will Q take to finish the road alone?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Time & Work / Pipes practice