Q98. 7 men and 15 women complete work in 15 days. 18 men and 20 women complete the same work in 8 days. X men and 20 women can co…

Question

Q98. 7 men and 15 women complete work in 15 days. 18 men and 20 women complete the same work in 8 days. X men and 20 women can complete the work in 10 days. Find X.

1. A. 18
2. B. 16
3. C. 24
4. D. 12 (Correct answer)
5. E. 20

Correct Answer

Option D — 12

Detailed Solution & Explanation

The correct answer is 12.

Key Points

• 7m+15w=1/15 and 18m+20w=1/8. Solving: w=1/400, m=1/240.
• For X men + 20 women in 10 days: X/240 + 20/400 = 1/10 → X/240 = 1/20 → X=12.