Let, a man’s efficiency = x/day A woman’s efficiency = y/day According to problem, ⇒ (3x + 5y) × 8 = (2x + 6y) × 10 ⇒ 24x + 40y = 20x + 60y ⇒ 4x = 20y ⇒ x = 5y Let, 10 women will complete it in a days. According to problem, ⇒ (3x + 5y) × 8 = 10y× a ⇒ (3 × 5y + 5y) × 8 = 10ya ⇒ 20y × 8 = 10ya ⇒ a = 16 ∴ 10 women will complete it in 16 days.