To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how many days will B take a…

Question

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how many days will B take alone?

1. A. 30 days (Correct answer)
2. B. 25 days
3. C. 18 days
4. D. 42 days

Correct Answer

Option A — 30 days

Detailed Solution & Explanation

The correct answer is 30 days.

Key Points

• B takes x days, A takes 1.5x days.
• Together: 1/x+2/(3x)=1/18 → 5/(3x)=1/18 → x=30. B alone = 30 days.