6 men and 13 women can complete a work in 20 days whereas 5 men and 8 women can complete it in 30 days. To complete the same work in 17 days, how many women should assist 9 men?
Answer & explanation
Correct answer: option 1
(6 M + 13 W) × 20 = (5 M + 8 W) × 30
12 M + 26 W = 15 M + 24 w
3 M = 2 W
⇒ M : W
2 : 3
Total work = (6 × 2 + 13 × 3) × 20 = 1020
To complete it in 17 days with 9 men required women
⇒ 1020 = 17 (9 × 2 + 3W)
18 + 3W = 60
3W = 42
W = 14