DRDO Multi tasking staff Model paper 5

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.