A and B together can complete a work in 3 days. They start together but after 2 days A leaves. If the remaining work is completed…

Question

A and B together can complete a work in 3 days. They start together but after 2 days A leaves. If the remaining work is completed in 2 more days, in how many days can B alone do the entire work?

1. A. 12 days
2. B. 4.2 days
3. C. 6 days (Correct answer)
4. D. 3.33 days

Correct Answer

Option C — 6 days

Detailed Solution & Explanation

The correct answer is 6 days.

Key Points

• A+B together finish in 3 days.
• After 2 days together, 2/3 work done.
• Remaining 1/3 done by B in 2 days → B's rate=1/6/day. B alone = 6 days.